Question

what is the area of the trapezoid? 3 in. 5 in. 4 in. 5 in. 9 in. square inches

Explanation:

Step1: Recall 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, $b_1 = 3$ in, $b_2=9$ in, and $h = 4$ in.

Step3: Substitute values into formula

$A=\frac{(3 + 9)\times4}{2}$.
First, calculate the sum in the parentheses: $3+9 = 12$. Then, $12\times4=48$, and $\frac{48}{2}=24$.

Answer:

24