The perimeter of a rectangular garden is 64 centimeters. the length of the garden is three times the width. find the length and the width

width 8 centimeters

length 24 centimeters

Step-by-step explanation:

L=3W : equation a       .

W=64/xW : equation b .

x=2L+2W                       .

 =2(3W)+2W                  .

x=8W                              .

Length = 24 cm

and, Width = 8 cm

Step-by-step explanation:

It is given that,

Length = 3 × (width)

⇒ L = 3W        → (1)

Also, since perimeter = 64 cm

And perimeter of rectangular garden = 2(L + W) = 64

From equation (1)

2(3W + W) = 64

2 × 4W = 64

⇒ 8W = 64

⇒ W = 8 cm

Putting value in equation (1)

L = 3 × 8 = 24 cm

thus, Length = 24 cm

and, Width = 8 cm

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step-by-step explanation: