Mathematical and Physical Journal
for High Schools
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Problem C. 1352. (April 2016)

C. 1352. Consider a line segment of unit length lying on the diagonal of a unit square. The perpendiculars drawn at the endpoints of this line segment intersect the sides of the square. What is the maximum possible area of the convex hexagon obtained in this way?

(5 pont)

Deadline expired on May 10, 2016.


Statistics:

118 students sent a solution.
5 points:Balázs Ákos Miklós, Bukor Benedek, Csorba Benjámin, Dávid Levente, Demeter Gergő, Édes Lili, Fraknói Ádám, Garamvölgyi István Attila, Kamenár Gyöngyvér, Kasó Ferenc, Kiss Vivien Mercédesz, Kormányos Hanna Rebeka, Kósa Szilárd, Markó Anna Erzsébet, Márton Anna, Mikulás Zsófia, Molnár 410 István, Nagy Nándor, Németh Csilla Márta, Paulovics Péter, Perger Kitti, Pinke Andrea, Richlik Róbert, Sal Dávid, Sántha 001 Balázs, Sebe Anna, Sudár Ákos, Szabó Alexandra, Szajkó Gréta, Szécsi Adél Lilla, Tatai Mihály, Thuróczy Mylan, Török Réka , Varga 157 Kristóf, Weisz Máté, Zsombó István.
4 points:42 students.
3 points:8 students.
2 points:12 students.
1 point:12 students.
0 point:8 students.

Problems in Mathematics of KöMaL, April 2016