One side of a rectangle is 11 times smaller than the other find all sides of a rectangle if the perimeter is 144.

Formula for finding the perimeter of a rectangle:
P = 2 * (a + b).

Let one side of the rectangle be x, then the second is 11x.

Let’s compose and solve the equation:

2 * (x + 11x) = 144;

2 * 12x = 144;

24x = 144;

x = 144: 24;

x = 6 (cm) – one side.

6 * 11 = 66 (cm) – the second side.

Answer: one side of the rectangle is 6 cm, and the other is 66 cm.