Question

The length of one parallel side of a trapezium measures 24 m and the distance between parallel sides measures 28 m. The area of the trapezium is 756 m2. What is the measure of the other parallel side?​

Answer 1

30 m

Explanation:

Given a trapezium with area 756 m², height 28 m, and one base of length 24 m, you want to know the length of the other base.

Area formula

The formula for the area of a trapezium is ...

A = 1/2(b1 +b2)h

Application

Using the given values, we have ...

756 = 1/2(24 +b2)(28)

54 = 24 +b2 . . . . . . . . . . . divide by 14

30 = b2 . . . . . . . . . . . . subtract 24

The measure of the other parallel side is 30 m.