Find the perimeter of a rectangle if its area is 48 and one side is exactly three times the other side.

Let’s find the lengths of the sides of this rectangle.

Let’s denote by x the width of this rectangle.

The problem statement says that one side of a given rectangle is three times larger than its other side, therefore, the length of this rectangle is 3x.

It is also known that the area of ​​this rectangle is 48, therefore, we can draw up the following equation:

3x * x = 48.

We solve the resulting equation:

3x ^ 2 = 48;

x ^ 2 = 48/3;

x ^ 2 = 16;

x ^ 2 = 4 ^ 2;

x = 4.

Let’s find the length of this rectangle:

3x = 3 * 4 = 12

Find the perimeter of this rectangle:

2 * (12 + 4) = 2 * 16 = 32.

Answer: The perimeter of this rectangle is 32.