Question

what is the area of the trapezoid? 33 mi. 20 mi. 29 mi. 12 mi. square miles submit

Explanation:

Step1: Recall trapezoid area formula

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

Step2: Identify values for the formula

Here, $b_1 = 12$ mi, $b_2 = 33$ mi, and $h = 20$ mi.

Step3: Substitute values into formula

$$\text{Area} = \frac{1}{2} \times (12 + 33) \times 20$$

Step4: Calculate sum of the bases

$12 + 33 = 45$

Step5: Compute final area

$$\text{Area} = \frac{1}{2} \times 45 \times 20 = 45 \times 10 = 450$$

Answer:

450 square miles