find the area of the trapezoid.

Explanation:

Step1: Recall area formula

The area formula for a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the bases and $h$ is the height.

Step2: Identify values

Here, $b_1 = 8$ in, $b_2=14$ in, and $h = 4$ in.

Step3: Substitute values

$A=\frac{(8 + 14)\times4}{2}$. First, calculate the sum of the bases: $8+14 = 22$ in. Then, multiply by the height: $22\times4=88$ in². Finally, divide by 2: $\frac{88}{2}=44$ in².

Answer:

44 in²