One side of the rectangle is 3 times longer than the other. Find the sides of a rectangle if its area is 108 cm ^ 2.

Let’s compose an equation in which we denote one of the sides of the rectangle as an unknown number x.

Since the second side is 3 times longer than the first, then its length will be: 3 * x.

It is known that the area of a rectangle is the product of its sides, so it will be:

3 * x * x = 108.

3 * x ^ 2 = 108.

x ^ 2 = 108/3 = 36.

x = √36 = 6 cm (first side).

3 * x = 3 * 6 = 18 cm (second side).

Checking the solution:

6 * 18 = 108.

Answer:

The lengths of the sides are 6 and 18 cm.