Question

The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length and the width of the parallelogram

Answer 1

the length would be 26 and the width would be 16.
L = length
w = width
p = perimeter

p=72

2L+2w=72

L=w+4

2(w+4) + 2w = 72
2w + 8 + 2w = 72
4w = 64
w = 16

2L + 2(16) = 72
2L + 32 = 72
2L = 52
L = 26

w = 16
L = 26

Answer 2

Length is 20 meters and width is 16 meters.

Explanation:

Given: Perimeter of parallelogram is 72 meters.

Width of the parallelogram is 4 meters less than its length.

To find: Length and width of the parallelogram.

Solution: Let the length of the parallelogram be x meters. So, width of the parallelogram is
`x-4` meters.

As per question,

`x+x+x-4+x-4=72`

`4x-8=72`

`4x=72+8`

`4x=80`

`x=(80)/(4)`

`x=20`

Hence, length of the parallelogram is 20 meters, and width of the parallelogram is
`20-4=16` meters.