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

The answer is 4 meters. (A)

Explanation:

Answer 2

The area of any trapezoid is

Area = (1/2) x (height) x (one base + the other base) .

Take that formula and write in the numbers you know:

(24 m²) = (1/2) x (height) x (5m + 7m)

(24 m²) = (6m) x (height)

Divide each side by 6m :

Height = (24 m² / 6m)

= 4 m .