Question

what is the area of the trapezoid?
2 km
6 km
7 km
6 km
square kilometers

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, h

From the diagram, the two parallel sides (bases) are $a = 2\space km$ and $b = 6\space km$, and the height $h = 6\space km$.

Step3: Substitute values into formula

First, calculate the sum of the bases: $a + b = 2 + 6 = 8\space km$.
Then, multiply by the height and divide by 2: $A = \frac{8}{2} \times 6$.
Simplify $\frac{8}{2}=4$, then $4\times6 = 24$.

Answer:

24