Chapter 12.8, Problem 12P

Consider all rectangles whose area is 4 $i{n}^2$ , including rectangles that have sides whose lengths are not whole numbers. What are the possible perimeters of these rectangles? Is there a smallest perimeter? Is there 3 largest? Answer this question either by pure thought or by actual examination of rectangles. Then write a paragraph describing your answer (including drawings, if relevant) and stating your conclusions clearly.