Question

A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters. One base is 6.4 meters and the other base 12.3 meters long. What is the height of the cross section

Answer 1

4m

Explanation:

see image. The area of the trapezoid is

Area=1/2 (b1 + b2)h

We can fill in the area and the two bases that were given. Then we solve for h to find the height.

37.4 = 1/2 (6.4+12.3)h

Add inside the ( ).

37.4 = 1/2 (18.7)h

Multiply

the 1/2 × 18.7

37.4 = 9.35h

Divide by 9.35

37.4/9.35 = h

4 = h

The height is 4 meters