Chapter 11.3, Problem 1PSA

a

To determine

To find : The area of the given trapezoid

Answer to Problem 1PSA

The area is $A=104$

Explanation of Solution

Given information : The following information has been given

The base lengths are

  $a=11$ and $b=15$

The height between them is

  $h=8$

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

  $A=\frac{11+15}{2}(8)=104$

b

To determine

To find : The median of the given trapezoid

Answer to Problem 1PSA

The median is $m=13$

Explanation of Solution

Given information : The following information has been given

The base lengths are

  $a=11$ and $b=15$

The height between them is

  $h=8$

Formula used : The area of any trapezoid will be

  $A=\frac{a+b}{2}h$

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

  $m=\frac{a+b}{2}$

Hence, we substitute the given values, and we get

  $m=13$