The perimeter of a rectangle is 48 cm. Find the area of a rectangle if its width is 3 times less than its length.

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

According to the condition of the problem, the width of this rectangle is 3 times less than its length.

Therefore, the length of this rectangle is 3 times its width and is 3x.

According to the condition of the problem, the perimeter of this rectangle is 48 cm, therefore, we can draw up the following equation:

2 * (x + 3x) = 48.

Solving this equation, we get:

2 * 4x = 48;

8x = 48;

x = 48/8;

x = 6 cm.

Find the length of the rectangle:

3x = 3 * 6 = 18 cm.

Find the area of the rectangle:

6 * 18 = 108 cm².

Answer: the area of the rectangle is 108 cm².