Perimeter = 2 times length PLUS 2 times width. OR (length + length + width + width).

Let x = Length.

Thus x - 2 will equal width.

Now substitute x and x-2 into your perimeter equation(definition) and set it equal to 32 as problem states.

2(x) + 2(x-2) = 32

Distribute and solve.

Distribute and solve.

2x + 2x - 4 = 32

4x - 4 = 32

4x = 36

x = 9 (this is your length).

Width equals x - 2.

**Width = 9 - 2 = 7**