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.
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
1 answer