The perimeter of a rectangle is 72 cm what is the length and width of the rectangle if the width is 3 times shorter than the length.

Let us compose an equation for the problem statement. Let’s denote by x – width. Then the length will be three times more – 3 * x. Keeping in mind that the perimeter is the sum of all the sides of the rectangle, we create an equation.

x + x + 3 x + 3 x = 72.

Let’s collect x.

8 x = 72.

Let’s find the unknown factor.

x = 72/8.

x = 9.

Let’s check the correctness of the solution:

9 + 9 + 9 * 3 + 9 * 3 = 9 + 9 + 27 + 27 = 18 + 54 = 72.

72 = 72.

Everything is correct.

The width is 9 cm.

Length:

9 cm * 3 times = 27 cm.

Bottom line: the rectangle is 9 cm wide and 27 cm long.