a. Assume that the length and width of a rectangle can be only whole numbers. How many rectangles of different dimensions have a perimeter of 12? 14? 16? 18? 24? (Orientation of the rectangle does not matter; that is, a 2x3 is the same rectangle as a 3x2.)
b. How many rectangles of different whole-number dimensions have a perimeter of n? Write your answer as an expression in n and explain your reasoning.
c. Assume that the length and width of a rectangle can be only whole numbers. Could the perimeter, n, be an odd-number? Explain why or why not.
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