1991 OIM Problems/Problem 2
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
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- 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 somewhat of an approach to get there.
