(related to Problem: The Garden Puzzle)

Half the sum of the four sides is $144.$ From this deduct in turn the four sides, and we get $64,$ $99,$ $44,$ and $81.$ Multiply these together, and we have as the result the square of $4,752.$ Therefore the garden contained $4,752$ square yards. Of course the tree being equidistant from the four corners shows that the garden is a quadrilateral that may be inscribed in a circle.

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Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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