The perimeter of the rectangle is 24 cm. The length of the rectangle is 3 times its width. find the area of the rectangle.

In order to find the area of a rectangle, we need to know the length and width of this rectangle.

From the condition, the perimeter of the rectangle is known, it is 24 cm. And it is also known that the length of the rectangle is 3 times its width.

Let’s denote the width as x, then the length can be written as 3x.

Let’s compose and solve a linear equation:

2 (x + 3x) = 24;

4x = 12;

x = 3 cm width of the rectangle,

3x = 3 * 3 = 9cm rectangle length.

Let’s find the area of a rectangle:

S = a * b = 3 * 9 = 27 cm2.

Answer: S = 27 cm2.