Question

question what is the area, in square meters, of the trapezoid below?

Explanation:

Step1: Identify the formula for trapezoid area

$A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height.

Step2: Determine the lengths of parallel - sides and height

The lengths of the parallel sides are $a = 9.5$m and $b=18 + 5.1=23.1$m, and the height $h = 5.8$m.

Step3: Substitute values into the formula

$A=\frac{(9.5 + 23.1)\times5.8}{2}=\frac{32.6\times5.8}{2}$.

Step4: Calculate the product in the numerator

$32.6\times5.8 = 189.08$.

Step5: Divide by 2

$A=\frac{189.08}{2}=78.34$ square meters.

Answer:

78.34 square meters