Enigma 997: Building sites
16 August 2019
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From New Scientist #2152, 19th September 1998 [link]
A small building site is offered for sale, divided into three plots, each at the same price per acre.
The plots are all rectangles of different sizes but each is the same shape as the overall site — that is, the ratio of the sides is the same for each, although two of the rectangles are rotated through 90° relative to the other two.
If the asking price of the largest plot is £20,000 more than that of the smallest, how much is the middle-sized plot?