Enigma 1179: Making a splash
22 February 2016
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From New Scientist #2335, 23rd March 2002 [link]
My square courtyard garden, of less than 100m², occupies a whole number of square metres. I marked out my octagonal pool in the middle of the garden by running lines from each corner of the square to the mid-points of the two sides opposing that corner. The perimeter of the octagon is a whole number of metres.
What is the area of my courtyard garden?
What is the perimeter of my octagonal pool?