Find the sides of a parallelogram if its perimeter is 30 cm and one side is 5 times larger than the other.

1. Let’s denote the length of the shorter side of the parallelogram through x cm.

2. Determine the length of the longer side of the parallelogram:

5 * x = 5x cm.

3. Let’s compose and solve the equation:

(5x + x) * 2 = 30;

6x * 2 = 30;

12x = 30;

x = 30: 12;

x = 2.5.

4. The length of the shorter side of the parallelogram is x = 2.5 cm.

5. What is the length of the longer side of the parallelogram?

5 * x = 5 * 2.5 = 12.5 cm.

Answer: the sides of the parallelogram are 2.5 cm, 12.5 cm, 2.5 cm, 12.5 cm.