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Union of squares (Posted on 2014-07-09) Difficulty: 3 of 5
For what number of non-overlapping unit squares can a figure be formed whose perimeter is numerically equal to the area?

No Solution Yet Submitted by Jer    
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Solution re: Some odds are possible | Comment 7 of 10 |
(In reply to Some odds are possible by Jer)

Indeed, I was assuming that new squares had to be flush with the others and meet at the corners.  If we offset them then odd solutions are possible.  At least, I found one:

http://i.imgur.com/9guH7X1.png

I have to run and won't get back to this until tomorrow but I'll try to come up with a general method tomorrow if no one beats me to it.


  Posted by tomarken on 2014-07-09 16:53:11
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