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

The solution of the problem:

1. Let’s denote the width of the rectangle through x.

2. Determine the length of the rectangle.

3 * x = 3x.

3. Let’s compose and solve the equation.

(3x + x) * 2 = 48;

3x + x = 48/2;

4x = 24;

x = 24/4;

x = 6.

4. The width of the rectangle is x = 6 cm.

5. What is the length of the rectangle?

3 * x = 3 * 6 = 18 cm.

6. What is the area of the rectangle?

18 * 6 = 108 sq. cm.

Answer: the area of the rectangle is 108 sq. cm.