<PRE><B>Question 124525</B>
The area of a rectangle is 40.if the length is 6 more than the width, find the dimensions of the rectangle.&lt;br&gt;&lt;br&gt;

Ok, so you know that {{{L=w+6}}}.&lt;br&gt;&lt;br&gt;

Plug this and your known area into the formula for area of a rectangle which is:
{{{A=L*w}}}&lt;br&gt;&lt;br&gt;

Here it is with the values plugged in:
{{{40=w+6*w}}}&lt;br&gt;&lt;br&gt;

Multiply:
{{{40=w+6w}}}&lt;br&gt;&lt;br&gt;

Add:
{{{40=7w}}}&lt;br&gt;&lt;br&gt;

Divide both sides by 7:
5 5/7=w&lt;br&gt;&lt;br&gt;

Just add 6 to that to find your length, which is 11 5/7.

And there&#39;s your answer.&lt;br&gt;&lt;br&gt;

Check:
40=5 5/7+6*5 5/7&lt;br&gt;&lt;br&gt;

Multiply:
40=5 5/7+34 2/7&lt;br&gt;&lt;br&gt;

Add:
{{{40=40}}}</PRE>