Chapter 11.4, Problem 30P

What is the perimeter of a rectangular garden that is $\frac{5+x}{2}$ ft long and $\frac{2x-1}{3}$ ft wide?

To determine

To find the perimeter of the garden.

Answer to Problem 30P

The perimeter of the garden is $\frac{7x+13}{3}ft$ .

Explanation of Solution

Given information:

The given statement is:

“What is the perimeter of a rectangular garden that is $\frac{5+x}{2}ft$ long and $\frac{2x-1}{3}ft$ wide?”

Calculation :

The solution can be obtained by:

  $\begin{array}{l}2\left(\frac{5+x}{2}+\frac{2x-1}{3}\right)\\ =2\left(\frac{15+3x+4x-2}{6}\right)\left[\text{Write the LCD of denominator}\right]\\ =2\left(\frac{7x+13}{6}\right)\\ =\frac{7x+13}{3}\end{array}$

Hence, the perimeter of the garden is $\frac{7x+13}{3}ft$ .