Solve This!

Pens II

Farmer Mead wants to raise frogs. She wants to build one rectangular pen for them and must allow one square meter of area for each frog. This time she has found 48 meters of fencing in her barn. Farmer Mead wants to build the pen that will hold the greatest number of frogs. Can you help her find the dimensions of the pen which uses all 48 meters of fence (perimeter) and holds the maximum number of frogs?

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Sir Isaac Newton invented calculus to solve problems such as this. Click here to read about his life.