All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Farmer's dilemma (Posted on 2003-12-23) Difficulty: 3 of 5
A farmer has an irregular plot of land that he wishes to leave to his four sons. It encompasses 2700 acres.

The shape can be described with the following coordinates:

On a regular Cartesian graph, start at (0,60), go to (60,60), go to (60,0), go to (30,0), go to (30,30), go to (0, 30), and finally go back to (0,60).
Each unit square is one acre.

He wants to divide it in such a way that each son has a plot of land that is contiguous and is identical in shape and size to each of the other son's plots.

Can you help him out?

See The Solution Submitted by SilverKnight    
Rating: 2.5000 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Contiguous? | Comment 6 of 11 |
(In reply to re: Contiguous? by Gamer)

Yes, by contiguous I took the problem to mean just that each of the son's plots must be a single piece, as opposed to taking several disjoint sections and saying that they constitute one of the son's portions of land.
  Posted by DJ on 2003-12-23 17:06:31

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information