# The perimeter of a rectangle is 24 inches, how do you find the dimensions if its length is 3 times greater than its width?

##### 1 Answer

Aug 4, 2015

Length: **9 inches**

Width: **3 inches**

#### Explanation:

You use the information given to you to write a system of two equations.

The perimeter of a rectangle is equal to the sum of its length and its width, multiplied by

#color(blue)(P = 2 * (L + w))#

In your case, you know that

This will be your first equation.

Now focus on the fact that its length is **3 times** greater than its width. This can be written like this

Your system will be

To solve for the length and width of the rectangle, use the expression you have for

This means that