Question 151545
The perimeter of a rectangle is 22m. The lenght is 5 more than twice the width. Find the dimesions.

Use the formula:
{{{P=2L+2w}}}

Plug in your amount for the perimeter:
{{{22=2L+2w}}}

Since the length is 5 more than twice the width, L=2w+5. So, replace L with 2w+5:
{{{22=2(2w+5)+2w}}}

Use the distributive property for the the parentheses:
{{{22=4w+10+2w}}}

Rearrange the terms so that you will be able to add the like terms:
{{{22=4w+2w+10}}}

Add the like terms:
{{{22=6w+10}}}

Subtract 10 from both sides:
{{{12=6w}}}

Divide both sides by 6:
{{{2=w}}}

This means the width is 2. To find the length (which is 2w+5), plug in the 2 for w. 
{{{L=2(2)+5}}}

Multiply:
{{{L=4+5}}}

Add:
{{{L=9}}}

So, the length is 9, and the width is 2.<br><br>

-iluvbuilding429