The length of the rectangle is 2 cm less than the width, and the width is unknown perimeter 32. find the width.

Let’s denote the length of the rectangle by x. Then the width will be – x – 2. Remembering that the perimeter of a rectangle is the sum of all its four sides, we compose the following equation:

x + x – 2 + x + x – 2 = 32.

Collect x on the left side, and move the numbers to the right side.

4 x = 32 – 2 – 2.

4 x = 36.

x = 36/4.

x = 9.

Examination.

9 + 9 – 2 + 9 + 9 – 2 = 18 – 2 + 18 – 2 = 16 + 16 = 32.

And so: the length of the rectangle is 9 cm.

Width – 2 cm less than length: 9 – 2 = 7 cm.

Bottom line: the width of the rectangle is 7 cm.