Question

If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.

Answer 1

9

Explanation:

The median is the average of the base lengths. Where "b" is the length of the other base, we have ...

36 = (44 +b)/2

b = 72 -44 = 28

We are told this is the same as 2x+10, so we have ...

28 = 2x +10

18 = 2x . . . . . subtract 10

9 = x . . . . . . . divide by 2

The value of x is 9.