The length of a rectangle is three times it’s width. If the perimeter is at most 128 cm , what is the greatest possible value for the width?

Answer 1

If the length is 3 times the width then we have this:

The perimeter is then w + 3w + w + 3w which adds up to 8w. So, since the perimeter is at most 128 cm, we can say 8w < 128 or w < 16.

We are looking for "the greatest possible value for the width" so w = 16