perplexus.info :: Geometry : Farmer's dilemma

Farmer's dilemma (Posted on 2003-12-23)

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?

Submitted by SilverKnight

Rating: 2.5000 (6 votes)

Solution: (Hide)

On the same diagram above, draw the following additional lines.... start at (15,30), go to (15,45), go to (45,45), go to (45,15), go to (30,15). Also draw line segments (30,45)-(30,60) and (45,30)-(60,30).

Now you should have the original plot divided appropriately.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-04-19 23:49:16
Solution(eeeeeeeaaaasy) in coordinates	Sandu-Dragu Vlad	2004-02-07 14:17:35
Solution...	Abigail Mitchell	2003-12-27 21:06:15
Solution	ethan	2003-12-25 12:26:55
The Solution	naive	2003-12-24 09:59:56
re(2): Contiguous?	DJ	2003-12-23 17:06:31
re: Contiguous?	Gamer	2003-12-23 15:00:32
Contiguous?	Richard	2003-12-23 13:26:18
No Subject	DJ	2003-12-23 10:27:35
Yes, I can help him	don scheuer	2003-12-23 09:39:22
Yes I can.	fwaff	2003-12-23 09:35:04

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