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).
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
1 answer