Francisco is building a window seat below a bay window in the shape of an isosceles trapezoid. His blueprint for the window seat is shown.
*Picture not drawn to scale
What is the area of the window seat?
A.
28 square feet
B.
70 square feet
C.
48 square feet
D.
24 square feet
To find the area of the window seat, we need to find the area of the isosceles trapezoid.
First, we need to find the bases of the trapezoid. Looking at the blueprint, the top base is 7 feet long and the bottom base is 11 feet long.
Next, we need to find the height of the trapezoid. Looking at the blueprint, the height is 4 feet.
The formula to find the area of a trapezoid is:
Area = (1/2) * (top base + bottom base) * height
Substitute the values in:
Area = (1/2) * (7 + 11) * 4
Area = (1/2) * 18 * 4
Area = 9 * 4
Area = 36 square feet
Therefore, the area of the window seat is 36 square feet.
None of the answer options match the correct answer, so the area is not listed here.