The sum of the 2 sides of the parallelogram is 22 cm, the difference of the other two sides is 2 cm

The sum of the 2 sides of the parallelogram is 22 cm, the difference of the other two sides is 2 cm, find the smaller side of the parallelogram.

In order to find the length of the shorter side of the parallelogram, we will compose and solve the equation.

It is known from the condition that the sum of the two sides of the parallelogram is 22 cm. And it is also known that the difference between the two sides is 2 cm. That is, one of the sides is 2 cm larger than the other.

Let’s denote by the variable x cm the length of the smaller side, then the length of the larger side is (x + 2) cm.

Knowing the sum of the two sides, we get the equation:

x + (x + 2) = 22;

x + x + 2 = 22;

2x = 22 – 2;

2x = 20;

x = 20: 2;

x = 10 cm length of the smaller side.