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?

You can make four pieces that are the same size, and not only identical in shape to each other, but to the original piece:

 ___________


|     |     |


|   __|__   |


|  |     |  |


|__|__   |__|


      |  |  |


      |__|  |


      |     |


      |_____|

I know other solutions have been posted, but I didn't feel like plotting all their little points to see if they have the same solution I do. Everyone likes a visual better anyway...

Posted by DJ on 2003-12-23 10:27:35