# One side of a parallelogram is 20% of its perimeter. find the perimeter of the parallelogram if the length

**One side of a parallelogram is 20% of its perimeter. find the perimeter of the parallelogram if the length of the shorter side is 4.8 cm.**

Let’s denote by x the length of the longer side of this geometric figure.

In the initial data for this task, it is reported that the length of the smaller side is 4.8 cm, and the length of one of the sides is two tens of percent of its perimeter.

Let’s consider two cases.

1) Let this side be the smaller side.

Then the perimeter of this geometric figure is 4.8 / 0.2 = 48/2 = 24 cm.

2) Let the big side be that side.

Then we can make the following equation:

x = 0.2 * (2x + 2 * 4.8),

solving which, we get:

x = 0.4x + 1.92;

x – 0.4x = 1.92;

0.6x = 1.92;

x = 1.92 / 0.6 = 3.2 cm.

Since the side with a length of x = 3.2 cm is not the larger side, this value of x is not suitable.

Answer: the perimeter is 24 cm.