One of the sides of a parallelogram is 4 times larger than the other, and its perimeter is 30 cm.

One of the sides of a parallelogram is 4 times larger than the other, and its perimeter is 30 cm. What are the sides of the parallelogram?

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:

4 * x = 4x cm.

3. Let’s compose and solve the equation:

(4x + x) * 2 = 30;

5x * 2 = 30;

10x = 30;

x = 30: 10;

x = 3.

4. The length of the shorter side of the parallelogram is x = 3 cm.

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

4 * x = 4 * 3 = 12 cm.

Answer: the sides of the parallelogram are 3 cm, 12 cm, 3 cm, 12 cm.