Length and Width help

Question

The length of a rectangle is 3 times the width. The perimeter is 44. What is the length and width???

Answer 1

Remember the equation for perimeter of a rectangle is:

2 * (L + W)

Therefore, the rectangle's perimeter is defined by:

2 * (L + W) = 44

Since, we know that the length is equal to 3 times the width, we can express the relationship like this.

2 * (3W + W) = 44 ==> 2 * 4W = 44 ==> 8W = 44

Dividing both sides by 8, we find that the width, W, is equal to 5 1/2.

Since the length, L, is equal to 3 times the width, L is equal to 16 1/2.

To double check our answer...

2 * (16 1/2 + 5 1/2) = 2 * 22 which does equal 44.