Question

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

Answer 1

width 8 centimeters

length 24 centimeters

Explanation:

L=3W : equation a .

W=64/xW : equation b .

x=2L+2W .

=2(3W)+2W .

x=8W .

Answer 2

Length = 24 cm

and, Width = 8 cm

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