The perimeter of the rectangle is 216 m. It is known that one side is 8 times larger than the other.

The perimeter of the rectangle is 216 m. It is known that one side is 8 times larger than the other. Calculate the sides of the rectangle.

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:

8 * x = 8x cm.

3. Let’s compose and solve the equation:

(8x + x) * 2 = 216;

9x * 2 = 216;

18x = 216;

x = 216: 18;

x = 12.

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

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

8 * x = 8 * 12 = 96 cm.

Answer: the sides of the parallelogram are 12 cm; 96 cm; 12 cm; 96 cm.