Question 168592
1. The length of a rectangle is three times the width. The area is 108in^2. Find the length and the width.

The formula for area of a rectangle is:
{{{A=L*w}}}

Plug in the values you already know:
{{{108=3w*w}}}

Start by dividing both sides by 3:
{{{36=w^2}}}

Now find the square root of both sides:
{{{6=w}}}

To find the length, multiply the width by 3.
{{{L=6*3}}}

Multiply:
{{{L=18}}}

So, your width is 6, and your length is 18.


2. The sum of two numbers is six. The sum of the squares of the two numbers is twenty-six. Find the two numbers. <br>

Your two numbers would be 5 and 1.