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.
70 square feet
B.
48 square feet
C.
24 square feet
D.
28 square feet
To calculate the area of the window seat, we need to first find the area of the trapezoid.
The formula for the area of a trapezoid is:
Area = 1/2 * (top base + bottom base) * height
In this case, the top base is 4 feet, the bottom base is 8 feet, and the height is 6 feet.
Plugging in the values:
Area = 1/2 * (4 + 8) * 6
Area = 1/2 * 12 * 6
Area = 6 * 6
Area = 36 square feet
So, the area of the window seat is 36 square feet.
Therefore, the closest option is 48 square feet (B).