Question

the image of a trapezoid is shown. what is the area of the trapezoid? 20.2 m² 43.4 m² 33.4 m² 86.8 m²

Explanation:

Step1: Find the length of the top base

The top base \(b_1=4 + 7=11\) m.

Step2: Use the trapezoid area formula

The area formula of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1 = 11\) m, \(b_2=3\) m, and \(h = 6.2\) m.
Substitute the values: \(A=\frac{(11 + 3)\times6.2}{2}\).
First calculate \(11+3 = 14\). Then \(14\times6.2=86.8\). Finally, \(\frac{86.8}{2}=43.4\).

Answer:

\(43.4\mathrm{m}^2\)