Question

1. what is the area, in square inches, of the trapezoid below?

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, $b_1=9.9$ in, $b_2=(17.7 + 9.9+6.9)=34.5$ in, and $h = 6.6$ in.

Step2: Substitute values into formula

$A=\frac{(9.9 + 34.5)\times6.6}{2}$. First, calculate the sum of the parallel sides: $9.9+34.5 = 44.4$ in. Then, multiply by the height: $44.4\times6.6=293.04$ square - inches. Finally, divide by 2: $\frac{293.04}{2}=146.52$ square - inches.

Answer:

$146.52$ square inches