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Four points

I drew a square whose sides were an integral number (less than 80) of centimetres long. Within the top left-hand quarter of the square I marked four points, each of which was an integral number of centimetres, not only from each side of the square but also from both the top left-hand corner and the bottom right-hand corner of the square. How long was each side of the square?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 9 June. The Editor’s decision is final. Please send entries to Enigma 1594, ¿ìè¶ÌÊÓƵ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1588 As easy as 1-2-3: THREE is 12744

The winner Richard Kennaway of Norwich, UK