Chapter 6.4, Problem 51STP

To determine

The equation that could be used to find r, the shorter side of the playground.

Answer to Problem 51STP

Option J. $2\left(r+10\right)+2r=80$ is correct.

Explanation of Solution

Given:

A rectangular playground is surrounded by an 80-foot fence.

One side of the ground is 10 feet longer than the other.

Calculation:

The rectangular playground has the dimensions;

  $w=r,l=10+r,P=80\text{ ft}\text{.}$

So,

  $\begin{array}{l}2l+2w=P\\ 2\left(r+10\right)+2r=80\end{array}$

Therefore, Option J. $2\left(r+10\right)+2r=80$ is correct.