Maximizing the area of a rectangle


Assignment:

The equation A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and show all calculations. Which of the two lengths that you chose gives a larger area? What is the corresponding width of each of the two rectangles?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Maximizing the area of a rectangle
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