Chapter 11.6, Problem 5CYU

To determine

To find the area of given trapezoid.

Answer to Problem 5CYU

Area is 85.6 square inches.

Explanation of Solution

Given:

Trapezoid with height = 16 in., bases = 3.1 in., 7.6 in.

Concept used:

The area of a trapezoid with bases a & b and height h is $A=\frac{1}{2}\left(a+b\right)\times h$ .

Calculation:

Given,

  $a=3.1\text{in}\text{.}\text{,}b=7.6\text{in}\text{.}\text{,}h=16\text{in}\text{.}$

Therefore area is,

  $\begin{array}{l}A=\frac{1}{2}\left(a+b\right)\times h\\ =\frac{1}{2}\left(3.1+7.6\right)\times 16\\ =10.7\times 8\\ =85.6{\text{in}}^{\text{2}}\end{array}$