The perimeter of the rectangle is 96 cm. Find its sides if they are 1: 3.

From the condition it is known that the perimeter of the rectangle is 96 cm. And it is also known that the sides are related as 1: 3.

Let’s enter the coefficient of similarity x. Then the lengths of the sides can be written as x and 3x.

Let’s remember the formula for finding the perimeter of a rectangle.

P = 2 (a + b), where a and b are the length and width of the rectangle.

Substitute the values in the formula and solve the resulting linear equation.

2 (x + 3x) = 96;

x + 3x = 96: 3;

4x = 32;

x = 32: 4;

x = 8.

So, one of the sides is 8 cm, and the second is 3 * 8 = 24 cm.