# The perimeter of the parallelogram = 52cm, 1 side of the parallelogram is 23cm

**The perimeter of the parallelogram = 52cm, 1 side of the parallelogram is 23cm larger than the other thread, the smaller side 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 52 cm. It is also known that one of the sides is 23 cm larger 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 (x + 23) cm.

We look for the perimeter by the formula:

P = 2 (a + b);

2 (x + (x + 23)) = 52;

x + x + 23 = 52: 2;

2x + 23 = 26;

2x = 26 – 23;

x = 3: 2;

x = 1.5 cm on the smaller side and 1.5 + 23 = 24.5 cm on the larger side.