AustMS Gazette Puzzle Corner 27

The Australian Mathematical Society Gazette’s Puzzle Corner is a regular column with
entertaining mathematical puzzles, here’s an example: 

"Crease length 

A rectangular sheet of paper is folded once so that two diagonally opposite corners
coincide.  If the crease formed has the same length as the longer side of the rectangle,
what is the ratio of the longer side to the shorter side?" 

You can find the Puzzle Corner, as well as the entire Gazette online at:
http://www.austms.org.au/Gazette+Volume+39+Number+2+May+2012 

Check it out when you feel like trying out random fun problems, and be sure to send your
solutions in.  A $50 book voucher is up for grabs for the best submission.  

Please e-mail solutions to ivanguo1986@gmail.com or send paper entries to: Kevin White,
School of Mathematics and Statistics, University of South Australia, Mawson Lakes SA
5095 

The deadline for submission is 15 July 2012.  The solutions will appear in the September
2012 issue of the Gazette.  

Thank you 

Ivan Guo