Question

9 km
18 km
22.5 km
find the area of the trapezoid pictured above.
select an answer

Explanation:

Step1: Recall trapezoid area formula

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

Step2: Substitute given values

Here, $a = 9\ \text{km}$, $b = 22.5\ \text{km}$, $h = 18\ \text{km}$. Substitute into the formula:
$\frac{1}{2} \times (9 + 22.5) \times 18$

Step3: Calculate sum of parallel sides

$9 + 22.5 = 31.5$

Step4: Multiply by height and 1/2

$\frac{1}{2} \times 31.5 \times 18 = 31.5 \times 9 = 283.5$

Answer:

$283.5\ \text{square kilometers}$