Question

1. find the area of the trapezoid.

4 mi
4 mi
5 mi

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Identify given values

Here, $b_1 = 4$ mi, $b_2 = 5$ mi, $h = 4$ mi.

Step3: Substitute values into formula

$\text{Area} = \frac{1}{2} \times (4 + 5) \times 4$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $4 + 5 = 9$.
Then multiply by the height: $9 \times 4 = 36$.
Finally multiply by $\frac{1}{2}$: $\frac{1}{2} \times 36 = 18$.

Answer:

18 square miles