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

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5