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Find the area of rectangle ABCD , with vertices A(1,7) , B(3,7) , C(3,−4) , and D(1,−4)
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Celia is designing a pool for her backyard. It is in the shape of a rectangle, and on her design 1 unit=1 ft. On her graphed design, the corners of the pool are at (28,12) , (18,12) , (18,4) , and (28,4) . What is the area of her pool?
bae
To find the area of rectangle ABCD, we use the formula:
Area = length x width
The length of the rectangle can be found by calculating the difference between the x-coordinates of points A and B:
Length = 3 - 1 = 2 units
The width of the rectangle can be found by calculating the difference between the y-coordinates of points A and D:
Width = 7 - (-4) = 11 units
Plugging in the values:
Area = 2 x 11 = 22 square units
Therefore, the area of rectangle ABCD is 22 square units.
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bae
The area of Celia's pool can be found by calculating the area of the rectangle formed by the corners of the pool:
Length = 28 - 18 = 10 ft
Width = 12 - 4 = 8 ft
Area = Length x Width
Area = 10 ft x 8 ft
Area = 80 square ft
Therefore, the area of Celia's pool is 80 square feet.