The perimeter of the parallelogram is 50 cm. One of its sides is 5 cm larger than the other. Find the sides of the parallelogram.

In a parallelogram, the opposite sides are equal in pairs.

Let x cm be the length of one side of the parallelogram, then (x + 5) cm is the length of the second side.

The perimeter of a parallelogram is equal to the sum of the lengths of all its sides:

P = x + x + (x + 5) + (x + 5) = 4x + 10.

From the condition it is known that the perimeter of the parallelogram is 50 cm, so we write:

4x + 10 = 50.

Let’s solve the equation:

4x = 50 – 10;

4x = 40;

x = 40: 4;

x = 10.

The length of one side of the parallelogram is x = 10 cm.

Let’s calculate the length of the second side:

10 + 5 = 15 cm.

Answer: 2 sides 10 cm and 2 sides 15 cm.