Path-o-logical
Our local park is rectangular, with each of its sides a whole number of metres in length, the longer sides exceeding the shorter ones by 25 metres. The boundaries run north-south and east-west. There are two straight paths of equal length. One runs from the gate at the south-west corner of the park to a point on the northern boundary. The second is at right angles to the first and runs from a point on the first path to the gate at the south-east corner of the park. Each path is a whole number of metres long. How long are the paths?
WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 14 August. The Editor’s decision is final. Please send entries to Enigma 1758, Â鶹´«Ã½, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).
Answer to 1752 Pentagon of squares: The smallest angle is 42 degrees; the angles either side are 64 and 121 degrees
The winner Trevor Morley of Weiterstadt, Germany
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