Keiko has a rectangular piece of fabric that is 48 inches wide and 72 inches long. She wants to cut her fabric into identical square pieces, leaving no fabric remaining. She also wants the side lengths of the squares to be whole numbers of inches.
a. Draw rough sketches indicating three different ways that Keiko could cut her fabric into squares.
b. Keiko decides that she wants her squares to be as large as possible. How big should she make her squares? Explain your reasoning. Draw a sketch showing how Keiko should cut the squares from her fabric.
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