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 four plots are all the same shape as the original with each side reduced by a half. The corners of each plot in standard (x,y) format are....

1. (0,30), (0,60), (30,60), (30,45), (15,45), (15,30)

2. (15,30), (15,45), (45,45), (45,15), (30,15), (30,30)

3. (30,45), (30,60), (60,60), (60,30), (45,30), (45,45)

4. (30,0), (30,15), (45,15), (45,30), (60,30), (60,0)

Posted by fwaff on 2003-12-23 09:35:04