Question

what is the area of the trapezoid?
0.3 km
0.5 km
0.6 km
0.7 km
square kilometers

Explanation:

Step1: Recall trapezoid area formula

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

Step2: Identify values from the diagram

Here, $a = 0.3\ \text{km}$, $b = 0.7\ \text{km}$, $h = 0.5\ \text{km}$.

Step3: Substitute values into formula

$$\text{Area} = \frac{1}{2} \times (0.3 + 0.7) \times 0.5$$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $0.3 + 0.7 = 1.0$.
Then multiply: $\frac{1}{2} \times 1.0 \times 0.5 = 0.25$.

Answer:

0.25 square kilometers