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?

The solutions of the first three comments are all the same, but do they meet the "contiguous" requirement of the problem? Contiguous means "sharing an edge or boundary; touching." The problem thus seems to require that each plot at least touch the other three, which is not the case with the solution of the first three comnments. Perhaps the proposer meant "connected" instead of "contiguous," or maybe there is another solution such that each plot shares a boundary with the others.
Edited on December 23, 2003, 4:17 pm

Posted by Richard on 2003-12-23 13:26:18