I had a 6x7 chocolate bar. My kid stole a 2x3 piece from a corner. Can I divide the rest in two identical pieces, just cutting along the lines? In three identical pieces? In four?

+---+---+---+---+
|   |   |   |   |
+---+---+---+---+
|   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+

I was thinking perhaps it might be interesting to continue with the problem. Since there are 36 squares, it could be equally divided into 6,9,12,18, and of course 36 equal pieces as well. 

It proved to be rather simple though, considering the three piece solution formed a 12 unit square - I should say rectangle - (which is so easily divisible by 1,2,3,4,6,12).  The four piece solution could also pretty easily provide our 12.  I had this figured out in my head while driving by the time I was home.   It was still interesting to me (pretty simple minded) to see how many possible solutions there were to  especially the 9 and 12 piece would be solutions.

Edited on August 25, 2007, 7:28 am

Posted by john on 2005-03-09 16:52:22