Question

The perimeter of a parallelogram is 76 meters. The width of the parallelogram is 2 meters less that it’s length. Find the length and the width of the parallelogram.

Answer 1

The length of the parallelogram is 20 meters.

The width of the parallelogram is 18 meters.

Step-by-step explanation:

The perimter of a parallelogram is calculated by addition of the lengths of all the enclosed sides.

⇒ x + (x - 2) + x + (x -2) = 76

Remove the brackets

x + x - 2 + x + x - 2 = 76

Collecting the like terms, we have

4x - 4 = 76

4x = 80

x = 80/4

x = 20 meters, which is the length of the parallelogram.

For width, we have,

20 - 2 = 18 meters.