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?

We divide the given figure into 12 squares as shown in the fig.Let the brothers be named A,B,C and D.Now each one of them shoud get an area of
comprising of 3 squares.As can be seen from the figure, the allotment serves our both purposes ie the area alloted to each brother has the same shape as others and is contiguous.(Squares marked X have been used for formatting purposes)

-- -- -- --
|A |A |B |B |
-- -- -- --
|A |D |D |B |
-- -- -- --
|X |X |D |C |
-- - -- --
|X |X |C |C |
-- -- -- --

Posted by naive on 2003-12-24 09:59:56