Question

a trapezoid has bases measuring 6.5 meters and 7.9 meters, with a height of 5.2 meters. calculate the area of the trapezoid. 133.51 m² 74.88 m² 37.44 m² 9.8 m²

Explanation:

Step1: Recall area formula

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

Step2: Substitute values

Let $b_1 = 6.5$, $b_2=7.9$, and $h = 5.2$. Then $A=\frac{(6.5 + 7.9)\times5.2}{2}$.
First, calculate the sum of the bases: $6.5+7.9 = 14.4$.
Then, multiply by the height: $14.4\times5.2=74.88$.
Finally, divide by 2: $\frac{74.88}{2}=37.44$.

Answer:

C. $37.44\ m^{2}$