Half of the perimeter of the rectangle abcd is 12 dm, the length of this rectangle is 3 times

Half of the perimeter of the rectangle abcd is 12 dm, the length of this rectangle is 3 times its width, find the lengths of the sides of the rectangle.

In the rectangle abcd, neither length nor width is known, but the perimeter of the rectangle is known. It is also known that the length of this rectangle is 3 times its width.

Let x cm be the width of the rectangle, then the length of the rectangle is 3x. It is also specified that half the perimeter of the rectangle abcd is 12 inches. Let’s write the equation:

P / 2 = a + b, where P / 2 is half the perimeter, a is the length of the rectangle, and b is the width of the rectangle.

12 = x + 3x;

4x = 12;

x = 12: 4;

x = 3 (cm) – the width of the rectangle;

If the width of the rectangle is 3 cm, then the length of the rectangle is 3 * 3 = 9 cm.

Answer: 3 cm and 9 cm.