Question

calculate the area of this trapezoid: a 28 units², b 32 units², c 40 units², d 56 units² (trapezoid with sides 7, 4 (height), 8, 6, 5)

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by \( A=\frac{(a + b)}{2}\times h \), where \( a \) and \( b \) are the lengths of the two parallel sides, and \( h \) is the height (the perpendicular distance between the parallel sides).

Step2: Identify \( a \), \( b \), and \( h \)

From the trapezoid, the parallel sides are \( a = 6 \) and \( b = 8 \), and the height \( h = 4 \).

Step3: Substitute into the formula

First, calculate the sum of the parallel sides: \( a + b=6 + 8 = 14 \).
Then, multiply by the height and divide by 2: \( A=\frac{14}{2}\times4=7\times4 = 28 \) units².

Answer:

A. 28 units²