Mr. and Mrs. Gomez just put a pool in their back yard. Mr. Gomez is a mathematics professor at the local college and Mrs. Gomez is a computer design engineer. For luck, they insisted that all the dimensions of their rectangular pool be square numbers. The area the pool covers must be a square number, the length and width must be square numbers and the difference between the length and width must also be a square numbers. Their back yard is a rectangle that is 20 feet by 30 feet, and they purchased the largest 'square dimension' pool that would fit in their yard. What are the dimensions of their pool?

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Judy Ann Brown

7 April 1997