Also, we prompt the user to enter the height of the trapezoid. We use the given formula to calculate the area of a trapezoid and store it in a variable “area”. Finally, display the value to the user. Output: Base of Trapezoid = 12 Second Base of Trapezoid = 6 Height of Trapezoid = 4 Area = 36.0. Also read, How to draw various shapes in Java ...You can use the right-triangle trick to find the area of a trapezoid. The following trapezoid TRAP looks like an isosceles trapezoid, doesn’t it? Don’t forget — looks can be deceiving. You should be thinking, right triangles, right triangles, right triangles. So draw in two heights straight down from R and A as shown in the following figure.To find the area of a trapezoid, the lengths of two of its parallel sides is to be known and the distance (height) between them. It is the number of unit squares that can be fit inside the shape and it is measured in square units such as cm 2 , m 2 , in 2 , etc. Discuss these 7 areas to create a detailed inbound marketing plan that will meet your client's goals. Trusted by business builders worldwide, the HubSpot Blogs are your number-one ...In this article, we will explain how to find the area of a trapezoid using the area formula trapezoid. First, let's define what a trapezoid is. A trapezoid is a quadrilateral with at least one pair of …27 Feb 2013 ... Watch this step-by step colorful Math Video on how to find the area of a Trapezoid. Also, get a great visual understanding of the formula ...3 Feb 2022 ... In this case the formula for the area of a trapezium is: A= (1/2)(b₁ + b₂)(h) : where b₁ & b₂ are the lengths of the two parallel sides and h is ...A trapezoid is a polygon with four sides, and this shows us that a trapezoid is a type of quadrilateral. We know that th e area of a geometric shape is the measure of space …May 14, 2021 · Welcome to How to Find the Area of a Trapezoid (How to Find the Area of a Trapezium) with Mr. J! Need help with finding the area of a trapezoid? You're in th... The area for finding the area of a trapezoid is 1/2 * h*(b_1 + b_2) where h is the height of the trapezoid and b_1 and b_2 are the bases. The bases are the two parallel sides. The height is the ...Learn how to calculate the area of a trapezoid using a formula, a calculator and a coordinate geometry approach. Find out how to find the height, the base lengths, the …1. Write down the formula . stands for the area, stands for the length of your parallelogram, and stands for the height of your parallelogram. [1] 2. Locate the base of the parallelogram. The base is the length of the bottom side of the parallelogram. [2] 3. Locate the height of the parallelogram.The Area of the trapezoid is given as the average of the two base lengths times the height: In other words, ½ x (sum of lengths of parallel sides of the Trapezoid) x perpendicular distance between parallel sides. Area =((a+b)÷ 2)× h. Java Program to Calculate Area of Trapezoid The area for finding the area of a trapezoid is 1/2 * h*(b_1 + b_2) where h is the height of the trapezoid and b_1 and b_2 are the bases. The bases are the two parallel sides. The height is the ...A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: \ [\text {Area}=\frac {1} {2} × \text {Sum of parallel sides} × \text {Distance between them}.\] The parallel sides are called ... Setting x= -2, y= 2, gives the equation 2= a(-2)+ b. Setting x= 4, y= 5, gives 5= a(4)+ b. Subtracting the first equation from the second, (4a ...Area, Trapezoid. The applet below will help you discover how to calculate the area of a trapezoid on your own. For a much nicer (and cleaner) version of this applet, click here . Questions are contained in the above applet. (Be sure to move the green slider all the way to the right!) The area for finding the area of a trapezoid is 1/2 * h*(b_1 + b_2) where h is the height of the trapezoid and b_1 and b_2 are the bases. The bases are the two parallel sides. The height is the ...Nov 21, 2023 · The formula to find the area of trapezoid is area = ((a + b)/2) * h, where a and b are the bases (the two parallel sides), and h is the altitude or height of the trapezoid. To use this formula, we ... May 14, 2021 · Welcome to How to Find the Area of a Trapezoid (How to Find the Area of a Trapezium) with Mr. J! Need help with finding the area of a trapezoid? You're in th... An example is done that shows how to calculate the area of a trapezoid using trigonometry (sin, cos, tan). Starting with the classic formula for the area of...For tips on how to experience the best of the Bradenton Area while protecting the places that make the Friendly City friendly, read on! By: John Garry Sugar-sand beaches, mazes of ...Trying to figure out the formula for the area of a trapezoid? You could start by creating a parallelogram out of two trapezoids. Then, use the formula for the area of a parallelogram to figure out the formula for the area of one trapezoid. This tutorial shows you how!Trapezoids: Area and Perimeter A trapezoid , also called a trapezium in some countries, is a quadrilateral with exactly one pair of parallel sides. The parallel sides are called the bases and the non-parallel sides are the legs of the trapezoid. An isosceles trapezoid is a trapezoid in which the two non-parallel sides are congruent .Jan 18, 2024 · Learn how to find the area and perimeter of a trapezoid using simple formulas and steps. Enter some numbers and get the results for the base lengths, height, and internal angles of a trapezoid. How to use the trapezoid calculator. Enter the 4 sides a, b, c and d of the trapezoid in the order as positive real numbers and press "calculate" with b being the short base and d being the long base (d > b). When the problem has a solution, the outputs are: the angles A, B, C and D, the height h, the area and the lengths of the diagonals AC ...Area. The area of a trapezoid is calculated by multiplying the average width by the altitude. See Trapezoid definition (coordinate geometry) to see how the side lengths and altitude are found. (Note too that the median length is the same as the average width.) In the figure above, drag any vertex of the trapezoid and note how the area is ...Nov 21, 2023 · The formula to find the area of trapezoid is area = ((a + b)/2) * h, where a and b are the bases (the two parallel sides), and h is the altitude or height of the trapezoid. To use this formula, we ... Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry …Find the area of a trapezoid in C++ · C++ code for the above syntax is: · C++ code for the above syntax is: · Square of(l1)=square of(x) +square of (x).Area, Trapezoid. The applet below will help you discover how to calculate the area of a trapezoid on your own. For a much nicer (and cleaner) version of this applet, click here . Questions are contained in the above applet. (Be sure …Area of Trapezoids. Help learners gain confidence finding the area of trapezoids with this simple, effective geometry worksheet! Students are first walked through an example of how to use the formula for finding the area of a trapezoid. Then learners will get to practice using the measurements of the bases and the height to calculate the areas ...Quartz is a guide to the new global economy for people in business who are excited by change. We cover business, economics, markets, finance, technology, science, design, and fashi...Calculation using side length and area. The height of the trapezoid can be calculated by use of the side length a and c and the area A;. H öhe = 2⋅F läche Seite+ Seite H ö h e = 2 · F l ä c h e S e i t e + S e i t e ⇒ h = 2⋅A a+c h = 2 · A a + c. Feb 27, 2013 · Watch this step-by step colorful Math Video on how to find the area of a Trapezoid. Also, get a great visual understanding of the formula needed to find the... area of a trapezoid. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals.Jan 18, 2024 · The area of a trapezoid may be found according to the following formula: Trapezoid area = (a + b) × h / 2, where a and b are the lengths of the parallel sides and h is the height; Also, the trapezoid area formula may be expressed as: Trapezoid area = m × h, where m is the arithmetic mean of the lengths of the two parallel sides Students learn that a trapezoid is a quadrilateral with one pair of parallel sides, and the formula for the area of a trapezoid is 1/2 times (base 1 + base 2) times height. For example, the...A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: \ [\text {Area}=\frac {1} {2} × \text {Sum of parallel sides} × \text {Distance between them}.\] The parallel sides are called ...The area of a trapezoid can be found by using this simple formula : a = base b = base ... Find area of the larger circle when radius of the smaller circle and difference in the area is given Find area of the Circle when the area of inscribed Square is given ...Write a Python program to calculate the area of a trapezoid. Note: A trapezoid is a quadrilateral with two sides parallel. The trapezoid is equivalent to the British definition of the trapezium. An isosceles trapezoid …A trapezoid is a polygon with four sides, and this shows us that a trapezoid is a type of quadrilateral. We know that th e area of a geometric shape is the measure of space within the boundary of a specific shape. In this article, we will learn how to calculate the area of a trapezoid with the help of solved examples....The area of a trapezoid can be computed using the lengths of two of its parallel sides and the height between them. The formula to calculate the area ( A) of a trapezium using base and height is given as, A = 1 2 ( a + b) × h. where a and b are the lengths of the parallel sides of the trapezoid, and h is the height.Step 2: Write down the formula of the trapezoid area. A = (a + b) × h / 2. Step 3: Substitute the values in the formula and calculate the area. A = (4 cm + 6 cm) × 8 / 2. A = 10 cm × 4. A = 40 cm. So, a trapezoid with 8 cm height, 4 cm top side, and 6 bottom side would have area of 40 cm. In this video I go through the process of breaking a trapezoid into separate figures (e.g., rectangle & triangle(s) to find area.Calculation using side length and area. The height of the trapezoid can be calculated by use of the side length a and c and the area A;. H öhe = 2⋅F läche Seite+ Seite H ö h e = 2 · F l ä c h e S e i t e + S e i t e ⇒ h = 2⋅A a+c h = 2 · A a + c. 30 Nov 2015 ... Trapezoid has bases a and b , and the altitude h . Its area is a+b2⋅h . Parallelogram: a=b , ⇒ area is a+a2⋅h=a⋅hTop Answerer. Divide the volume by the length to get the cross-sectional area. Assuming this is a regular hexagon, use the area formula to solve for the width of a side: A = (0.385) (s²). Multiply the side width thus calculated by the length of the prism. That gives you the area of one side.Worksheet to solve trapezoid problems involving base1, base2, height and area. How to find the area of a trapezoid using the formula 1/2 (a + b)h? Step 1: Find the bases and height. (The height must be perpendicular to bases) Step 2: Add the bases and multiply by the height. Step 3: Divide the answer by 2. Step 4: Write the units.The area of a trapezoid can be computed using the lengths of two of its parallel sides and the height between them. The formula to calculate the area ( A) of a trapezium using base and height is given as, A = 1 2 ( a + b) × h. where a and b are the lengths of the parallel sides of the trapezoid, and h is the height.Jun 15, 2022 · Solution. Use the formula for the area of a trapezoid. 1 2(18)(41 + 21) = 558 units2 1 2 ( 18) ( 41 + 21) = 558 units 2. Example 5.14.2 5.14. 2. Find the area of the trapezoid. Round your answers to the nearest hundredth. Figure 5.14.3 5.14. 3. Solution. Use the formula for the area of a trapezoid. Consider a trapezium ABCD. To find the area of trapezium ABCD, we will divide it into two right triangles and a rectangle, since we know how to calculate the ...Solution: Area of isosceles trapezoid = (sum of parallel sides ÷ 2) × height. given, bases = 3 inches and 5 inches, height = 4 inches. Area = [ (3 + 5) ÷ 2] × 4. Area = 16 inches 2. Example 3: Find the perimeter of an isosceles trapezoid if its bases are 20 inches and 25 inches and non-parallel sides are 30 inches each. area = √ 115.5 × (115.5 - 77) 3 = 2567.33 sq ft. Since the longest distance between any two points of an equilateral triangle is the length of the edge of the triangle, the farmer reserves the edges of the pool for swimming "laps" in his triangular pool with a maximum length approximately half that of an Olympic pool, but with double the area – all under the watchful eyes of the presiding ... Curved/Lateral Surface Area. The surface area of a trapezoidal prism can be given with this formula: (b1+b2)h + PH. In this formula, "b1" and "b2" stand for the length of the bases of the trapezoid. The height of the trapezoid is "h". The perimeter of the trapezoid is "P", and "H" is the height of the prism.The formula for calculating the median is: m=\frac {1} {2} \cdot (b_ {1}+b_ {2}) And we can rewrite the formula above for calculating the area of the trapezoid as: A=m \cdot h. Another property is the height of the trapezoid, which is the shortest distance between two bases. The main property of the height is that it forms right angles with ...Besides finding the area, you can also calculate the perimeter of a trapezoid and the angles between sides and legs. A = (base 1 + base 2) \times height \div 2. A = (16 + 12) \times 4 \div 2 = 56 square meters. Alternative scenario: If both sides were of the same length (12m), we could use the simpler formula:Since the formula for the area of a trapezoid is. A = h 2(b1 +b2), A = h 2 ( b 1 + b 2), this means that if the bases are constant and the height is constant, the area is the same even if the location of the two bases are are "shifted" relative to each other. So for a trapezoid of given fixed area, the one that minimizes the perimeter is the ...To find the area of a trapezium, follow the below-given steps: Step 1: Find the dimensions of given trapezium, i.e., length of parallel sides and length of height. Step 4: Now, multiply the above-calculated value by 1/2 to get the final answer. The obtained value in step 4 is the area of the given trapezium.In geometry, a trapezoid (/ ˈ t r æ p ə z ɔɪ d /) in North American English, or trapezium (/ t r ə ˈ p iː z i ə m /) in British English, is a quadrilateral that has at least one pair of parallel sides.. The parallel sides are called the bases of the trapezoid. The other two sides are called the legs (or the lateral sides) if they are not parallel; otherwise, the trapezoid is a ...Whether you're thinking of hosting Airbnb experiences or you're already a top host, here are some excellent AirBnb experience ideas. As an Airbnb host, you have the unique opportun...Worksheet to solve trapezoid problems involving base1, base2, height and area. How to find the area of a trapezoid using the formula 1/2 (a + b)h? Step 1: Find the bases and height. (The height must be perpendicular to bases) Step 2: Add the bases and multiply by the height. Step 3: Divide the answer by 2. Step 4: Write the units. The perimeter of a trapezoid is the total length of the outline of the trapezoid. On the other hand, the area is a measure of the space occupied by the trapezoid. We can find the perimeter of a trapezoid by adding the lengths of all its sides, and we can find its area by adding its bases, multiplying by its height, and dividing by 2. In this ...Step-by-step process on getting the area of a trapezoid by integrationThe height of the parallelogram is equal to ½ the height of the trapezoid. 4. Use this representation to determine a formula for finding the area of any ...When you look at the picture of the trapezoid in question, to find its area you are actually integrating a line segment from $(0,3)$ to $(3,6) ... $\begingroup$ So I should find the two points that really include the area of the entire thing, find the equation of that line, and then take the integral of that? $\endgroup$ – Burt. Jul 22, 2019 ...This works for any trapezoid! You can place two congruent trapezoids together to form a parallelogram with the same height. The base of the parallelogram will be the sum of the bases of the trapezoid. The area of one trapezoid will be 1⁄2 the area of the parallelogram, or 1⁄2(b1 + b2)h. 2.11 Oct 2010 ... In this video, we learn how to find the area of a trapezoid. The formula to figure out how to find the answer is: Area= 1/2x (base1 x base2) ...The perimeter of a trapezoid is the total length of the outline of the trapezoid. On the other hand, the area is a measure of the space occupied by the trapezoid. We can find the perimeter of a trapezoid by adding the lengths of all its sides, and we can find its area by adding its bases, multiplying by its height, and dividing by 2. In this ...Calculate the height of the trapezoid, which is also important to calculate the area of the trapezoid using the formula. Use the formula according to the BODMAS rule, and avoid making mistakes while calculating. The area of the trapezoid will be in square units. Examples: Calculate Area of Trapezoid with bases a = 10 cm, b = 14 cm, and height h ... Learn how to calculate the area of a trapezoid using a formula, a calculator and a coordinate geometry approach. Find out how to find the height, the base lengths, the …People like rural areas for the land and laid-back lifestyle. But building in these areas also brings challenges. Modular building may be the answer. Expert Advice On Improving You...Whether you're thinking of hosting Airbnb experiences or you're already a top host, here are some excellent AirBnb experience ideas. As an Airbnb host, you have the unique opportun...Get your free lessons: https://vividmath.comSurface Area of a Trapezoidal PrismSee all Surface Area lessons: https://vividmath.com/geometry/ge-surface-area-a...By the time your class has completed this extensive series, they will undoubtedly be experts at finding the area of a trapezoid. Areas of Trapezoids Worksheet 1 – Here is a nine problem worksheet that will allow your students to practice calculating the area of a trapezoid. Each exercise provides a drawing of the trapezoid as well as the height and …If you're wondering where to stay in Prescott on your visit, here are the best areas and neighborhoods you should not miss. By: Author Brittney Liu Posted on Last updated: February...In this article, we will explain how to find the area of a trapezoid using the area formula trapezoid. First, let's define what a trapezoid is. A trapezoid is a quadrilateral with at least one pair of …Setting x= -2, y= 2, gives the equation 2= a(-2)+ b. Setting x= 4, y= 5, gives 5= a(4)+ b. Subtracting the first equation from the second, (4a ...If you have last-minute houseguests, you might be stressed at the idea of cleaning your whole house last-minute, too. Here’s an idea: don’t. As Apartment Therapy points out, there ...
This works for any trapezoid! You can place two congruent trapezoids together to form a parallelogram with the same height. The base of the parallelogram will be the sum of the bases of the trapezoid. The area of one trapezoid will be 1⁄2 the area of the parallelogram, or 1⁄2(b1 + b2)h. 2.. Island mapping
Calculate the height of the trapezoid, which is also important to calculate the area of the trapezoid using the formula. Use the formula according to the BODMAS rule, and avoid making mistakes while calculating. The area of the trapezoid will be in square units. Examples: Calculate Area of Trapezoid with bases a = 10 cm, b = 14 cm, and height h ...3/5/10 9:05 PM. Get help with your math homework and learn to find the area of a trapezoid by watching this video. Following along while four examples are solved, the viewer will learn how to calculate the area when all the required measurements are given and will learn to calculate distance of one side when the area of the trapezoid is known.The area of a trapezoid is found using the formula: In this formula, b 1 and b 2 are the lengths of the bases of the trapezoid and h is the height of the trapezoid. The image below shows what we mean by the lengths of the bases and the height: How to Find the Area of a Trapezoid Finding the area of a trapezoid is easy.A trapezoid is a flat geometric shape with four straight sides having at least one pair of opposite parallel sides. It looks like a triangle whose top portion is sliced off. The parallel sides are the bases, and the other two sides are called the legs or the lateral sides. It is also called a trapezium in the UK and some other parts of the world.The area of any trapezoid with base side lengths “b1” and “b2” and height “h” is given by the formula A = h(b1 + b2)/2. The base sides are the trapezoid’s two parallel sides. The t...Consider a trapezium ABCD. To find the area of trapezium ABCD, we will divide it into two right triangles and a rectangle, since we know how to calculate the ...Properties of the sides of an isosceles trapezoid: The bases (top and bottom) of an isosceles trapezoid are parallel. Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent). The diagonals (not show here) are congruent. 30 Nov 2015 ... Trapezoid has bases a and b , and the altitude h . Its area is a+b2⋅h . Parallelogram: a=b , ⇒ area is a+a2⋅h=a⋅hHow to find wilderness areas near you including online forums, Gaia GPS, AllTrails, and MTB Project. In outdoor travel, the word “isolation” is put on a pedestal. “Get away from th...The area of a trapezoid is found using the formula A= (1/2)h (b1+b2), where b1 and b2 are the parallel sides of the trapezoid and h is the height of the trapezoid. What is the area, in square kilometers, of a trapezoid with bases 5 km and 7 km and height. The height of a trapezoid is 2 inches. If one base is 14 inches long and the area is 49 ... Nov 21, 2023 · The formula to find the area of trapezoid is area = ((a + b)/2) * h, where a and b are the bases (the two parallel sides), and h is the altitude or height of the trapezoid. To use this formula, we ... Basic Math Examples ... The area of a trapezoid is equal to 12 1 2 times the height times the sum of the bases b1+b2 b 1 + b 2 . ... Substitute the values of the ...Learn how to calculate the area of a trapezoid using the perimeter formula and the angles formula. Find out the special cases of trapezoids, such as isosceles and …The area of a trapezoid can be considered as the region covered by the trapezoid in a two-dimensional plane. A trapezoid is a 2D figure that falls within the category of quadrilaterals. In a trapezoid, one pair of sides is parallel and the other pair of …The area of a trapezoid can be found by using this simple formula : a = base b = base ... Find area of the larger circle when radius of the smaller circle and difference in the area is given Find area of the Circle when the area of inscribed Square is given ...The area, A A , of a trapezoid is A=12h(b+B) A = 1 2 h ( b + B ) . example. Find the area of a trapezoid whose height is 6 ...Jan 16, 2023 · Learn the formula and examples of finding the area of a trapezoid, a quadrilateral with one pair of parallel sides. The area is the average of the bases multiplied by the altitude. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry ….
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Udinese vs juventus | Learn how to find the area of a trapezoid using a simple formula that involves the sum of the bases, the height and a constant. See examples, exercises and solutions with …A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: \ [\text {Area}=\frac {1} {2} × \text {Sum of parallel sides} × \text {Distance between them}.\] The parallel sides are called ... ...
Polish concrete | Let's break the area into two parts: Part A is a square: Area of A = a 2 = 20m × 20m = 400m 2. Part B is a triangle. Viewed sideways it has a base of 20m and a height of 14m. Area of B = ½b × h = ½ × 20m × 14m = 140m …Since the formula for the area of a trapezoid is. A = h 2(b1 +b2), A = h 2 ( b 1 + b 2), this means that if the bases are constant and the height is constant, the area is the same even if the location of the two bases are are "shifted" relative to each other. So for a trapezoid of given fixed area, the one that minimizes the perimeter is the ......
Indiana members credit union near me | Properties. Property #1) The angles on the same side of a leg are called adjacent angles and are supplementary ( more ) Property #2) Area of a Trapezoid = Area = height ⋅(sum bases 2) A r e a = h e i g h t ⋅ ( sum bases 2) ( more ) Property #3) Trapezoids have a midsegment which connects the mipoints of the legs ( more ) Learn how to calculate the area of a trapezoid using the formula A = bh, where h is the height and b 1 and b 2 are the base lengths. Find out how to use the midsegment, a grid and other methods to find the area of a …Area of a trapezoid, step by step, example. For more videos on finding the area of a trapezoid, visit http://MathMeeting.com....
Newcastle vs arsenal | Area, Trapezoid. The applet below will help you discover how to calculate the area of a trapezoid on your own. For a much nicer (and cleaner) version of this applet, click here . Questions are contained in the above applet. (Be sure to move the green slider all the way to the right!) In this video, we learn how to find the area of a trapezoid. The formula to figure out how to find the answer is: Area= 1/2x (base1 x base2) x height. Now, find the bases and the height of the trapezoid. Remember that the height must always be perpendicular to the bases. Once you have found these, add the bases and multiply by …area = √ 115.5 × (115.5 - 77) 3 = 2567.33 sq ft. Since the longest distance between any two points of an equilateral triangle is the length of the edge of the triangle, the farmer reserves the edges of the pool for swimming "laps" in his triangular pool with a maximum length approximately half that of an Olympic pool, but with double the area – all under the watchful eyes of the presiding ... ...
Tekashi 69 beat | The formula for finding the area of a trapezoid is A = h(b1+b22) A = h ( b 1 + b 2 2). Note that dividing the sum of the bases by two is the average of those lengths. Because our sample problem is on a graph, we can see that the top base, which we’ll call base 1, is three units long. Our bottom base, base 2, is 11 units longs.The green covers nine square meters, and the blue covered six square meters. So, if we combine all those areas, all those square meters it covers, that will tell us the area of the entire figure. So we have six square meters, plus nine square meters, plus 27, and we can solve that, six plus nine is 15, 15 plus 27, let's see, five ones and seven ...Area of a Trapezoid (Intermediate) Use the formula to calculate the area of the three trapezoids shown. In the intermediate-level worksheets, the measurements are all double-digit whole numbers. 5th through 7th Grades. View PDF. ...
One piece netflix season 2 | Area of a Trapezoid (Intermediate) Use the formula to calculate the area of the three trapezoids shown. In the intermediate-level worksheets, the measurements are all double-digit whole numbers. 5th through 7th Grades. View PDF.Setting x= -2, y= 2, gives the equation 2= a(-2)+ b. Setting x= 4, y= 5, gives 5= a(4)+ b. Subtracting the first equation from the second, (4a ......