A 900 cubic foot pool is to be built with a square bottom of side length x. The sides are built with tiles and the bottom cement. The cost per unit of tile is $5 per square foot and the cost of the bottom is $2 per square foot. For safety reasons the height must be 3 feet or less. If there is $1650 available for the cost of the material of the pool, what dimensions should the pool be. Round final answers off to 2 decimal places.

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