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Cutting the Card (Posted on 2009-09-16) Difficulty: 2 of 5
Take a card that is 6 cm by 12 cm, and mark the center point.

Then draw four straight line segments, each from the center point to the perimeter, and each an integral number of centimeters long, so that if you wish to cut off an area of any integral multiple of 6 cm2, you need only cut along two of these lines. Of course cutting off a multiple of 6 cm2 will also leave a multiple of 6 cm2.

What are the lengths of the four segments and how can they be arranged around the center?

See The Solution Submitted by Charlie    
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  Subject Author Date
Some ThoughtsCongratulations (and correction)Steve Herman2009-09-20 11:13:20
re: one solutionStephanie2009-09-20 02:42:41
one solutionDaniel2009-09-16 12:24:01
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