# The length of a rectangle is three times its width. If the perimeter is at most 112 centimeters, what is the greatest possible value for the width?

##### 1 Answer

Nov 24, 2016

#### Answer:

The greatest possible value for the width is 14 centimeters.

#### Explanation:

The perimeter of a rectangle is

We are given the length is three times the width or

So we can substitute

The problem also states the perimeter is at most 112 centimeters. At most means the perimeter is less than or equal to 112 centimeters. Knowing this inequality and know the perimeter can be expresses as