The perimeter of the parallelogram is 36cm and one of the sides is 2 times larger than the other.

The perimeter of the parallelogram is 36cm and one of the sides is 2 times larger than the other. What is the smallest of its sides?

In order to find the sides of a parallelogram, you and I must compose and solve a linear equation.

Let’s start by introducing the variable x – denoting with it the length of one of the sides of the parallelogram, then the length of the other side is 2x cm.

It is also known from the condition that the perimeter of the parallelogram is 36 cm.

We look for the perimeter of the parallelogram using the same formula as the perimeter of the rectangle:

P = 2 (a + b);

36 = 2 (x + 2x);

x + 2x = 36: 2;

x (1 + 2) = 18;

3x = 18;

x = 18: 3;

x = 6 cm one side and 2 * 6 = 12 cm length of the second.