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. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.