Due May 9

This problem is solved by working examples and looking for a pattern. We consider this to be a hard problem, worth 20 or 25 points. Send answers and questions to mathstat@uoguelph.ca

Notice that the 3x4 rectangle below contains 20 squares (12 1x1, 6 2x2, and 2 3x3).

Find an algorithm or formula for the number of squares for any (whole number) dimensioned rectagle with height N and width M. An algorithm is worth 20 points, an atual formula is worth 25.

Send your answer to mathstat@uoguelph.ca

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