The pilot has found the best route out of the cornfield.Arriving to his own farm he decides to fence his own cornfield. His cornfield is not rectangular but he decides to fence it in with a rectangle. While he is doing this he finds that independently of how he tries to build the fence using as little wire as possible he always ends up with a square with a side of 100m. He curses his bad luck as his cornfield is area wise the smallest possible cornfield that has this property.
What is the area his cornfield?
PS: The cornfield is compact, it does not contain any patches of grass or anything else.
Solution: See Spinning triangle.
2 comments:
When strolling around in the absence of even the slightest moonlight and receiving telepathic messages, i.e. 227.8291641440m, he was longing for the field of his own, the two row width and 100m long piece of land.
For the first puzzle,
I wish I could give you a price for that solution, well done.
I have updated the original post with your solution.
The second puzzle was maybe a bit hazely described, what I am after is an area which has equal width everywhere, and not any holes inside it. A disc fits this desciption but there exists smaller areas like this.
An area like this has the property that if you have a square of width 100m you can turn the shape inside it and all four sides of the square are touched the by shape all the time.
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