Find the sides of a rectangle if one side is 5 times the other and the perimeter of the rectangle is 60.

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

2. Determine the length of the larger side of the rectangle:

5 * x = 5x cm.

3. Let’s compose and solve the equation:

(5x + x) * 2 = 60;

6x * 2 = 60;

12x = 60;

x = 60: 12;

x = 5.

4. The length of the smaller side of the rectangle is x = 5 cm.

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

5 * x = 5 * 5 = 25 cm.

Answer: the sides of the rectangle are 5 cm; 25 cm; 5 cm; 25 cm.