The perimeter of the parallelogram is 50cm. Find the sides of the parallelogram. If one side is 5cm larger than the other.

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

2. Find out what the large side of the parallelogram is equal to:

(5 + x) cm.

3. Let’s compose and solve the equation:

((x + 5) + x) * 2 = 50;

(x + x + 5) * 2 = 50;

(2x + 5) * 2 = 50;

2x + 5 = 50: 2;

2x + 5 = 25;

2x = 25 – 5;

2x = 20;

x = 20: 2;

x = 10.

4. The length of the smaller side is x = 10.

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

5 + x = 5 + 10 = 15 cm.

Answer: the sides of the parallelogram are 10 cm; 15 cm; 10 cm; 15 cm.