One of the sides of the rectangle is 8 times smaller than the other, and its perimeter is 45 cm

One of the sides of the rectangle is 8 times smaller than the other, and its perimeter is 45 cm. Find the lengths of 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 = 45;

9x * 2 = 45;

18x = 45;

x = 45: 18;

x = 2.5.

4. The length of the smaller side of the rectangle is x = 2.5 cm.

5. How long is the longer side of the rectangle?

8 * x = 8 * 2.5 = 20 cm.

Answer: the sides of the rectangle are 2.5 cm; 20 cm; 2.5 cm; 20 cm.