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C. 850. An arbitrary interior point of a regular hexagon of unit side is reflected about the midpoint of each side, respectively. Calculate the area of the resulting hexagon.

(5 points)

Deadline expired on 18 May 2006.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás: A felezõpontok szabályos hatszöget alkotnak, ennek kétszeres nagyítása a kérdéses hatszög. Vagyis az is szabályos. Az oldalának hossza: . Vagyis

Statistics on problem C. 850.
 215 students sent a solution. 5 points: 132 students. 4 points: 33 students. 3 points: 15 students. 2 points: 23 students. 1 point: 7 students. 0 point: 5 students.

• Problems in Mathematics of KöMaL, April 2006

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