Changing Area, Changing Perimeter

timer Asked: Apr 15th, 2015

Question description

Suppose you consider a rectangular floor space of 36 square meters with whole-number side lengths.  Which design has the least perimeter?  Which has the greatest perimeter?  Explain your reasoning.

In general, describe the rectangle with whole-number dimensions that has the greatest perimeter for a fixed area.  Which rectangle has the least perimeter for a fixed area?

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