Difference between revisions of "1991 OIM Problems/Problem 2"

(Created page with "== Problem == Two perpendicular lines divide a square into four parts, three of which each have an area equal to 1. Show that the area of the square is four. ~translated into...")
 
Line 6: Line 6:
 
== Solution ==
 
== Solution ==
 
{{solution}}
 
{{solution}}
 +
* Note.  I actually competed at this event in Argentina when I was in High School representing Puerto Rico.  I got partial points because I couldn't prove this but had the right approach.
  
 
== See also ==
 
== See also ==
 
https://www.oma.org.ar/enunciados/ibe6.htm
 
https://www.oma.org.ar/enunciados/ibe6.htm

Revision as of 18:26, 14 December 2023

Problem

Two perpendicular lines divide a square into four parts, three of which each have an area equal to 1. Show that the area of the square is four.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

  • Note. I actually competed at this event in Argentina when I was in High School representing Puerto Rico. I got partial points because I couldn't prove this but had the right approach.

See also

https://www.oma.org.ar/enunciados/ibe6.htm