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Area and dimensions

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Part 1: The equation

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?

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Solution Preview

The perimeter of a rectangle is P = 2 (L + W);

so if P = 600, then 300 = L + W.

If L = 200 and W = 100, ...

Solution Summary

This provides an example of working with rectangle dimensions and area.