The perimeter of the parallelogram is 60 cm. Find the sides of the parallelogram if one side is 6 cm less than the other.

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

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

(x – 6) cm.

3. Let’s compose and solve the equation:

(x + (x – 6)) * 2 = 60;

(x + x – 6) * 2 = 60;

(2x – 6) * 2 = 60;

2x – 6 = 60: 2;
2x – 6 = 30;

2x = 30 + 6;

2x = 36;

x = 36: 2;

x = 18.

4. The length of the longer side of the parallelogram is x = 18 cm.

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

x – 6 = 18 – 6 = 12 cm.

Answer: the sides of the parallelogram are 18 cm, 12 cm, 18 cm, 12 cm.