Question

The width of a rectangle is

3/4 the length. The perimeter is
252 cm. What is the width of the rectangle?

Answer 1

54cm

Explanation:

54 cm

x = length of the rectangle

3

4

x = width of the rectangle

2l + 2w = perimeter

2x + 2(

3

4

x) = 252

2x +

3

2

x = 252

7

2

x = 252

x = 72 cm

3

4

x = 54 cm

The width is 54 cm.

Answer 2

The perimeter is twice the sum of length and width, so that sum is 126 cm. The wdith : length ratio is 3 : 4, so the width is 3/(3+4) = 3/7 of the total.

width = (3/7)*126 cm = 54 cm