Question

question
what is the area, in square meters, of the trapezoid below?
8.7 m
9.8 m
16.3 m
7.2 m

Explanation:

Step1: Find the length of the lower base

The lower base \( b_2=16.3 + 7.2=23.5\) m.

Step2: Use the trapezoid area formula

The area formula of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1 = 8.7\) m, \(b_2=23.5\) m, and \(h = 9.8\) m.
Substitute the values into the formula: \(A=\frac{(8.7+23.5)\times9.8}{2}\).
First calculate the sum of the bases: \(8.7 + 23.5=32.2\).
Then multiply by the height: \(32.2\times9.8 = 315.56\).
Finally divide by 2: \(A=\frac{315.56}{2}=157.78\).

Answer:

\(157.78\) square meters