Chapter 11.3, Problem 5PSA

To determine

To find : The base of the given trapezoid

Answer to Problem 5PSA

The base is $b=11$

Explanation of Solution

Given information : The following information has been given

One of the base lengths is

  $a=15$

The height between them is

  $h=10$

The area is

  $A=130$

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

  $130=\frac{15+b}{2}(10)\to b=11$