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5. Graphical Applications of Derivatives
5. Graphical Applications of Derivatives / Applied Optimization / Problem 13
Problem 13

A rectangular swimming pool is being designed with an area of 150 m2150\text{ m}^2. Surrounding the pool on all sides is a uniform 2 m2\text{ m} wide deck. What are the dimensions of the pool that minimize the total area (including the deck)?

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