One of the sides of the parallelogram is 6 cm larger than the other, find its sides if the parallelogram pyrimeter is 70 cm.

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

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

(x + 6) cm.

2. Let’s compose and solve the equation:

((x + 6) + x) * 2 = 70;

(x + 6 + x) * 2 = 70;

(2x + 6) * 2 = 60;

2x + 6 = 70: 2;

2x + 6 = 35;

2x = 35 – 6;

2x = 29;

x = 29: 2:

x = 14.5.

3. The length of the shorter side of the parallelogram is x = 14.5 cm.

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

x + 6 = 14.5 + 6 = 20.5 cm.

Answer: the sides of the parallelogram are 14.5 cm, 20.5 cm, 14.5 cm, 20.5 cm.