The length of a rectangle is twice its width. If the perimeter of the rectangle is 48 centimeters, find the value of the

length of the rectangle.

Answer: The length of the rectangle is 16 cm

Step-by-step explanation: The given figure is a rectangle with the size of the perimeter already given.

If the length of the rectangle is twice the width of the rectangle, then

When the width is represented by W, the length would be represented by 2W

Also, the perimeter (P) is given as

P = 2L + 2W

P = 2 (L + W)

Given that L = 2W and

W = W

P = 2 (2W + W)

48 = 2 (3W)

48 = 6W

Divide both sides of the equation by 6

8 = W

Having calculated the width as 8cm, and having in mind that the length of the rectangle is twice it's width

L = 2W

L = 2 * 8

L = 16 cm