The perimeter of the parallelogram is 60cm. One of its sides is 6cm smaller than the other.

The perimeter of the parallelogram is 60cm. One of its sides is 6cm smaller than the other. Find the lengths of the sides of the parallelogram.

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

2. Determine the large 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;

4x + 12 = 60;

4x = 60 – 12;

4x = 48;

x = 48: 4;

x = 12.

4. The length of the smaller side of the parallelogram is x = 12 cm.

5. What is the longest side of the parallelogram?

x + 6 = 12 + 6 = 18 cm.

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