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.
48 square feet
B.
24 square feet
C.
70 square feet
D.
28 square feet
To find the area of the window seat, we need to find the area of the trapezoid.
Given that the two parallel bases of the trapezoid are 10 feet and 4 feet, and the height is 4 feet.
The formula for the area of a trapezoid is:
Area = (1/2) * (sum of the lengths of the parallel bases) * height
Substitute the given values:
Area = (1/2) * (10 + 4) * 4
Area = (1/2) * 14 * 4
Area = 7 * 4
Area = 28 square feet
Therefore, the area of the window seat is 28 square feet which corresponds to option D.