Question

what is the area, in square meters, of the trapezoid below?
7.6 m
8 m
13.2 m
7.7 m

Explanation:

Step1: Find the bottom base length

$13.2 + 7.6 + 7.7 = 28.5$ m

Step2: Recall trapezoid area formula

The formula for the area of a trapezoid is $\frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel bases, and $h$ is the height.

Step3: Substitute values into formula

$\frac{1}{2} \times (7.6 + 28.5) \times 8$

Step4: Calculate the sum of bases

$7.6 + 28.5 = 36.1$

Step5: Compute final area

$\frac{1}{2} \times 36.1 \times 8 = 144.4$

Answer:

144.4 square meters