Question

what is the area, in square inches, of the trapezoid below? 12.5 in 9 in 6.5 in

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.

Step2: Identify values

Here, $b_1 = 12.5$ in, $b_2=6.5$ in, and $h = 9$ in.

Step3: Substitute values into formula

$A=\frac{(12.5 + 6.5)\times9}{2}=\frac{19\times9}{2}$.

Step4: Calculate the result

$19\times9 = 171$, and $\frac{171}{2}=85.5$ square inches.

Answer:

$85.5$ square inches