In a parallelogram, one side is 2 times larger than the other. find its sides if the parallelogram perimeter is 20 cm.

We denote by x the length of the shorter side of this parallelogram.

Let us express in terms of x the length of the longer side of this parallelogram.

According to the condition of the problem, one side of this parallelogram is 2 times larger than its other side, therefore, the length of the larger side of this parallelogram is 2x.

According to the condition of the problem, the perimeter of this parallelogram is 20 cm, therefore, we can draw up the following equation:

2 * (x + 2x) = 20.

We solve the resulting equation:

2 * 3x = 20;

6x = 20;

x = 20/6;

x = 10/3 cm.

Knowing the length of the smaller side of this parallelogram, we find the larger side:

2x = 2 * 10/3 = 20/3 cm.

Answer: the lengths of the sides of this parallelogram are 10/3 cm and 20/3 cm.