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

Answer:

The answer is 4 meters. (A)

Step-by-step 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 .