Question

Is My Answer Correct?

The height of a trapezoid is 13 inches, one of the bases measures 22 inches. If the area of the trapezoid is 318.5 square inches, find the length of the other base.
I think it's 27, but i'm not sure.

Answer 1

1/2(22+x)*13=318.5
(11+1/2x)*13=318.5
143+7.5x=318.5
7.5x=175.5
x=175.5/7.5
23.4

Answer 2

You missed from the 3rd line, 6.5 instead of 7.5
143 + 6.5x = 318.5
6.5x = 175.5
x = 27

It is much easier if you multiply both sides by 2 from beginning.
(22 + x) 13 = 637
You then divide both side by 13 to obtain
22 + x = 49
Fianlly subtract both sides by 22
x = 27