The width of the rectangle is 8 cm less than its length. Find the width of the rectangle if its perimeter is 23 cm.

The first step is to designate the width of the rectangle as the variable x. Based on the fact that the length is 8 centimeters longer, then it is equal to (x + 8) centimeters. The perimeter of a rectangle is twice the sum of its length and width. Knowing that the perimeter is 23 centimeters, let’s make an equation and find the value of the width of the rectangle.

2 * (x + x + 8) = 23;

2 * (2x + 8) = 23;

2x + 8 = 23/2;

2x + 8 = 11.5;

2x = 11.5 + 8;

2x = 19.5;

x = 19.5 / 2;

x = 9, 75 centimeters.

The width is 9.75 cm.

Answer: 9.75 centimeters.