Question

The perimeter of a parallelogram is 68 meters. The width of the parallelogram is 2 meters less than its length. Find the length and the width of the parallelogram. x meters (x − 2) meters The length of the parallelogram is . The width of the parallelogram is .

Answer 1

The length of the parallelogram is 18 meters.
The width of the parallelogram is 16 meters.

Answer 2

The length of the parallelogram is 18 meters

The width of the parallelogram is 16 meters

Explanation:

The perimeter of a parallelogram is 68 meters

LEt x be the length of the parallelogram

Width is 2 meters less than its length

Width =x-2

Perimeter of parallelogram = 2(length + width)

Perimeter of parallelogram =
`2(x + x-2)`

=
`2(2x-2)= 4x-4`

`4x-4= 68`

Add 2 on both sides

`4x= 72`

Divide by 4 on both sides

x=18

The length of the parallelogram is 18 meters

The width of the parallelogram is 18-2= 16 meters