Difference between revisions of "Quarter cover"
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==Puzzle== | ==Puzzle== | ||
Suppose you have a rectangular table which is just large enough to hold 100 non-overlapping quarters (101 quarters will not fit). Of course, not all of the tabletop is covered by these quarters. Prove that you can cover the entire tabletop (with no gaps) using 400 quarters. | Suppose you have a rectangular table which is just large enough to hold 100 non-overlapping quarters (101 quarters will not fit). Of course, not all of the tabletop is covered by these quarters. Prove that you can cover the entire tabletop (with no gaps) using 400 quarters. | ||
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{{Needs hint}} | {{Needs hint}} | ||
Current revision as of 13:01, 17 March 2013
Here is a puzzle from Peter Winkler I first heard on The Math Factor podcast.
Puzzle
Suppose you have a rectangular table which is just large enough to hold 100 non-overlapping quarters (101 quarters will not fit). Of course, not all of the tabletop is covered by these quarters. Prove that you can cover the entire tabletop (with no gaps) using 400 quarters.
