Problem: Farmer Wurzel's Estate

I will now present another land problem. The demonstration of the answer that I shall give will, I think, be found both interesting and easy of comprehension.


Farmer Wurzel owned the three square fields shown in the annexed plan, containing respectively $18,$ $20,$ and $26$ acres. In order to get a ring-fence around his property, he bought the four intervening triangular fields. The puzzle is to discover what was then the whole area of his estate.

Solutions: 1

Thank you to the contributors under CC BY-SA 4.0!



Project Gutenberg

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

This eBook is for the use of anyone anywhere in the United States and most other parts of the world at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this edition or online at If you are not located in the United States, you'll have to check the laws of the country where you are located before using this ebook.