Question

what is the area of the trapezoid? 3 mi. 5 mi. 7 mi. 9 mi. square miles submit

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A = \frac{(a + b)}{2} \times h$, where $a$ and $b$ are the lengths of the two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases).

Step2: Identify values of a, b, and h

From the diagram, the two bases are $a = 3$ mi and $b = 9$ mi, and the height $h = 5$ mi.

Step3: Substitute values into the formula

First, calculate the sum of the bases: $a + b = 3 + 9 = 12$ mi.
Then, multiply by the height and divide by 2: $A = \frac{12}{2} \times 5 = 6 \times 5 = 30$ square miles.

Answer:

30