Question

question
what is the area, in square centimeters, of the trapezoid below?
7 cm
8 cm
14.9 cm
6.4 cm

Explanation:

Step1: Find the length of the lower base

The lower base \( b_2=14.9 + 6.4=21.3\) cm.

Step2: Use the trapezoid area formula

The area formula of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1 = 7\) cm, \(b_2=21.3\) cm, and \(h = 8\) cm.
Substitute the values into the formula: \(A=\frac{(7 + 21.3)\times8}{2}\).
First calculate the sum of the bases: \(7+21.3 = 28.3\).
Then multiply by the height: \(28.3\times8=226.4\).
Finally divide by 2: \(A=\frac{226.4}{2}=113.2\).

Answer:

113.2 square centimeters