Chapter 0.7, Problem 8E

To determine

To calculate: The perimeter of a parallelogram with the side lengths $\text{6}\frac{1}{4}\text{inches}$ and $\text{5inches}$ .

Answer to Problem 8E

The perimeter of the parallelogram with side lengths $\text{6}\frac{1}{4}\text{inches}$ and $\text{5 inches}$ is $\text{22}\text{.5 inches}$ .

Explanation of Solution

Given information:

A parallelogram with the side lengths $\text{6}\frac{1}{4}\text{inches}$ and $\text{5inches}$ .

Formula used:

Perimeter $\left(P\right)$ of a parallelogram with sides a and b is denoted by $P=2\left(a+b\right)$ .

Calculation:

Consider the parallelogram with sides $\text{6}\frac{1}{4}\text{inches}$ and $\text{5inches}$ .

Recall that a perimeter $\left(P\right)$ of a parallelogram with sides a and b is denoted by $P=2\left(a+b\right)$ .

Apply it,

  $\begin{array}{c}P=2\left(6\frac{1}{4}+5\right)\\ =2\left(\frac{25}{4}+5\right)\\ =2\left(6.25+5\right)\\ =2\left(11.25\right)\end{array}$

Solving it further, we get,

  $P=22.5$

Thus, the perimeter of the parallelogram with side lengths $\text{6}\frac{1}{4}\text{inches}$ and $\text{5 inches}$ is $\text{22}\text{.5 inches}$ .