Question

A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid?

4 meters
144 meters
2 meters
1 meter

Answer 1

Write it as an algebraic expression

24m^2 = (5m + 7m)/2 x h
24m^2 = 12m/2 x h
24m^2 = 6m x h

Divide both sides of the equation by 6m

24m^2 / 6m = 6m/6m x h
4m = h

The height is 4m