Chapter 11.3, Problem 4PSA

To determine

To find : The height of the given trapezoid

Answer to Problem 4PSA

The height is $h=9$

Explanation of Solution

Given information : The following information has been given

The base lengths are

  $a=8$ and $b=22$

The area of the trapezoid is

  $A=135$

Formula used : The area of any trapezoid will be

  $A=\frac{a+b}{2}h$

Calculation : We know that the area of a trapezoid can be given as

  $A=\frac{a+b}{2}h$

Hence, we substitute the given values, and we get

  $135=\frac{8+22}{2}(h)\to h=9$