Enigma 1632: Foiled by a fold
13 December 2011
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From New Scientist #2798, 5th February 2011 [link]
I started with a rectangular piece of paper, the longer side of which was 24 centimetres in length. I then folded the paper with one straight fold so that one corner of the rectangle was touching the diagonally opposite corner. This created a folded piece that was a pentagon, and the area of this pentagon was two-thirds of the area of the original rectangle.
What was the length of the longest side of the pentagon?