A Rectangular garden has length twice its width. The perimeter of the garden is 54 m. What is its perimeter?

1 answer

L = 2 W

P = 2 L + 2 W = 2 ( L + W )

P = 54

2 ( L + W ) = 54 Divide both sides by 2

L * W = 54 / 2

L + W = 27

Replace L = 2 W in this equation.

2 W + W = 27

3 W = 27 Divide both sides by 3

W = 27 / 3

W = 9 m

L = 2 W = 2 * 9 = 18 m

Proof:

P = 2 ( L + W ) = 2 ( 18 + 9 ) = 2 * 27 = 54 m