Find the sides of a parallelogram if its perimeter = 36 cm, and one side is twice as large as the other.

In order to find the sides of a parallelogram, we will compose and solve an equation. Let’s start by analyzing the problem statement.

It is known from the condition that the perimeter of the parallelogram is 36 cm, and it is also known that one of the sides is 2 times larger than the other.

We introduce the variable x, denoting the length of one of the sides with it, then the length of the second side is 2x cm.

P = 2 (a + b);

We compose and solve the equation:

2 (x + 2x) = 36;

x (1 + 2) = 36: 2;

3x = 18;

x = 18: 3;

x = 6 cm the smaller side, then 6 * 2 = 12 cm the length of the larger side.