The perimeter of a rectangular garden is 252 centimeters. The length of the garden is five times the width. Find the length and the width.

l = 105 cm; w = 21 cm

The formula for the perimeter of a rectangle is

P = 2 (l+w)

We have the equations

(1) 2 (l+w) = 252 cm

(2) l = 5w

Substitute Equation (2) into Equation (1):

2 (5w + w) = 252 cm

2 * 6w = 12 w = 252 cm

w = 252 cm/12 = 21 cm

Substitute the value for w into Equation (2):

l = 5w = 5 * 21 cm = 105 cm