Question

what is the area, in square meters, of the trapezoid below? 13.1 m 8 m 7.4 m

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height between them.

Step2: Identify known values

Here, $b_1 = 13.1\ \text{m}$, $b_2 = 7.4\ \text{m}$, $h = 8\ \text{m}$.

Step3: Sum the parallel sides

$13.1 + 7.4 = 20.5\ \text{m}$

Step4: Multiply by height and 1/2

$\frac{1}{2} \times 20.5 \times 8 = 10.25 \times 8$

Step5: Calculate final product

$10.25 \times 8 = 82$

Answer:

82 square meters