What is the ratio of the perimeter of a rectangle to its length if the length of the rectangle is 1.5 times its width?

The perimeter of a rectangle is twice the sum of its length and width. Let’s designate the width as “x” cm, then the length will be equal to “1.5x” cm. Let’s calculate what the perimeter of a rectangle with sides x and 1.5x is equal to.

P = 2 * (x + 1.5x) = 2 * 2.5x = 5x cm.

Let’s calculate what is the ratio of the perimeter to the length. To do this, the perimeter value must be divided by the length value.

P / a = 5x / 1.5x = 5x: 1 1 / 2x = 5x: 3 / 2x = (5x * 2) / 3x = 10x / 3x = 10/3.

Answer: 10: 3.