Chapter 8, Problem 7RP

To determine

To find the length of a side.

Answer to Problem 7RP

The length of side is 7.5

Explanation of Solution

Given information:

Pentagon ABCDE is similar to Pentagon A’B’C’D’E’ with perimeters 24 and 30 respectively.

  $AB=6$

Formula used:

The below property is used:

Corresponding sides of similar pentagon are proportional.

Calculation:

  

It is given that,

  $AB=6$

Corresponding sides of similar pentagon are proportional.

  $\begin{array}{l}\frac{24}{30}=\frac{6}{A\text{'}B\text{'}}\\ 24*A\text{'}B\text{'}=180\\ \therefore A\text{'}B\text{'}=\frac{180}{24}=7.5\end{array}$