Question

what is the area of the trapezoid?
32 km
18 km
15 km
18 km
square kilometers

Explanation:

Step1: Recall trapezoid area formula

The area \( A \) of a trapezoid is given by \( A=\frac{(a + b)}{2}\times h \), 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 parallel sides (bases) are \( a = 32\space \text{km} \) and \( b = 18\space \text{km} \), and the height \( h = 15\space \text{km} \).

Step3: Substitute values into the formula

First, calculate the sum of the bases: \( a + b=32 + 18 = 50\space \text{km} \).
Then, multiply by the height and divide by 2: \( A=\frac{50}{2}\times15 \).
Simplify \( \frac{50}{2}=25 \), then \( 25\times15 = 375 \).

Answer:

375