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| Math Central | Quandaries & Queries |
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In a 5 by 5 checkerboard : how many 2 by 2 squares are there, what other sizes of squares do you need to count and how many of of each size of squares can you find; how many squares did you find in all |
Darren,
Try figuring out how many squares of the checkerboard can be the top left corner of a 2x2 square. Since each 2x2 square has exactly one top left corner, and each choice of top left corner completely determines the 2x2 square, this is the number you need.
Victoria
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