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Enigma Number 1632

Foiled by a fold

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?

WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 9 March. The Editor鈥檚 decision is final. Please send entries to Enigma 1632, New 女生小视频, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1626 Pascal鈥檚 pyramid: A = 2, B = 5, C = 3, D = 1, E = 4, F = 6

The winner Mark Fletcher, Cinderford, Gloucestershire, UK