Question

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. what is the area of the window seat? a. 48 square feet b. 28 square feet c. 24 square feet d. 70 square feet

Explanation:

Step1: Find the lengths of the bases

The top - base $a = 5$ ft. The bottom - base $b=5 + 1+1=7$ ft, and the height $h = 4$ ft.

Step2: Apply the trapezoid area formula

The area formula of a trapezoid is $A=\frac{(a + b)h}{2}$. Substitute $a = 5$, $b = 7$, and $h = 4$ into the formula: $A=\frac{(5 + 7)\times4}{2}$.
First, calculate the sum of the bases: $5+7 = 12$. Then, multiply by the height: $12\times4=48$. Finally, divide by 2: $\frac{48}{2}=24$ square feet.

Answer:

C. 24 square feet