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?

(In reply to Contiguous? by Richard)

A variation of this puzzle I have seen says they don't have to be contigous, but that a person could walk on all of his property without stepping foot in another's property, this counts properties touching diagonally as counting. I think this problem wanted to not count properties only touching by diagonals as counting.

Posted by Gamer on 2003-12-23 15:00:32