Find the sides of a parallelogram if its perimeter is 30 cm and one side is 1 cm 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:

(x + 1) cm.

3. Let’s compose and solve the equation:

((x + 1) + x) * 2 = 30;

(x + 1 + x) * 2 = 30;

(2x + 1) * 2 = 30;

2x + 1 = 30: 2;

2x + 1 = 15;

2x = 15 – 1;

2x = 14;

x = 14: 2:

x = 7.

4. The length of the shorter side of the parallelogram is x = 7 cm.

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

x + 1 = 7 + 1 = 8 cm.

Answer: the sides of the parallelogram are 7 cm, 8 cm, 7 cm, 8 cm.