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Quadratic Equation Application Word Problem : Maximizing and Minimizing Area

A rectangular play yard is to be constructed along the side of a house by erecting a fence on three sides, using house wall as the fourth wall. Find the demensions that produce the play yard of maximum area if 20 meters of fence is available for the project.

What are the dimensions of an aluminum can that can hold 28 ounces of juice and that uses the least amount of aluminum? Assume that the can is cylindrical, and is capped on both ends.

Solution Summary

Derivatives and quadratic equations are used to maximize and minimize area. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.