The perimeter of the parallelogram is 112, and one of its sides is three times smaller than the other

The perimeter of the parallelogram is 112, and one of its sides is three times smaller than the other, find the sides of the parallelogram.

In order to find the lengths of the sides of a parallelogram, we will compose and solve an equation.

Let’s see what we know from the problem statement. It is known that the perimeter of a parallelogram is 112 cm. It is also known that one of the sides is 3 times smaller than the other.

Let’s denote the length of one of the sides of the parallelogram using the variable x cm, then the length of the second side can be written as 3x cm.

We are looking for the perimeter by the formula:

P = 2 (a + b);

2 (x + 3x) = 112;

x + 3x = 112: 2;

x (1 + 3) = 56;

4x = 56;

x = 56: 4;

x = 14 cm on one side and 3 * 14 = 42 cm on the other side.