Question

what is the area, in square feet, of the trapezoid below? 17.5 ft 7.6 ft 9.6 ft

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height. Here, $b_1=17.5$ ft, $b_2 = 9.6$ ft, and $h = 7.6$ ft.

Step2: Substitute values into formula

$A=\frac{(17.5 + 9.6)\times7.6}{2}$. First, calculate the sum of the parallel sides: $17.5+9.6=27.1$ ft. Then, multiply by the height: $27.1\times7.6 = 205.96$ square - feet. Finally, divide by 2: $\frac{205.96}{2}=102.98$ square - feet.

Answer:

$102.98$ square feet