Question

a trapezoid has bases of 14 meters and 6 meters, with a height of 9 meters. what is the area of the trapezoid? a 80 m² b 90 m² c 100 m² d 110 m²

Explanation:

Step1: Recall the area formula of trapezoid

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 lengths of the two bases, and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(b_1 = 14\) meters, \(b_2=6\) meters, and \(h = 9\) meters.
First, find the sum of the bases: \(b_1 + b_2=14 + 6=20\) meters.
Then, calculate the area: \(A=\frac{20\times9}{2}\).
Since \(\frac{20\times9}{2}=10\times9 = 90\) square - meters.

Answer:

B. \(90\mathrm{ m}^2\)