The perimeter of a rectangle is 96 cm. What are its sides if the length is three times the width?

According to the condition of the assignment, we write down the equation and determine what the sides of the rectangle are equal to, if their sum is 96 cm, and the length is 3 times the width.

The formula for calculating the perimeter of such a shape looks like this:

P = 2a + 2b.

Let’s substitute the known values, we will take the smallest side for the unknown “x”:

2 * 3x + 2x = 96.

Let’s perform actions with the coefficients of the variable on the left side of the equation, and transfer the number to the right, while the sign in front of it changes to the opposite.

8x = 96.

To find the second factor, divide the product by the first:

x = 96: 8 = 12.

Therefore, width = 12 cm, length = 12 * 3 = 36 cm.