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 sum of the two bases

The two bases of the trapezoid are \(4 + 7=11\) m and \(3\) m. The sum of the bases \(b_1 + b_2=(4 + 7)+3=14\) m.

Step2: Apply the trapezoid area formula

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

Answer:

\(43.4\space m^{2}\) (the second option)