The perimeter of the rectangle is 80cm and one of its sides is 5 times larger than the other. Find the second side.

The first step is to define the width of the rectangle as “x” centimeters, then the length is “5x” centimeters. Knowing that the perimeter of the rectangle is 80 centimeters, we can draw up an equation.

(x + 5x) * 2 = 80;

The first step is to simplify the expression in parentheses.

6 * x = 80/2;

To find the value of the variable “x” we divide the product 80 by the second factor equal to 2.

6 * x = 40;

x = 40/6;

x = 6 2/3;

Let’s calculate what the length of the rectangle is.

6 2/3 * 5 = 40/6 * 5 = 200/6 = 33 1/3 cm.

Answer: 33 1/3 cm.