Problem C. 1346. (March 2016)

C. 1346. Two line segments are drawn from a vertex of a unit square to cut the square into three parts of equal area: two triangles and a kite enclosed between them. The procedure is repeated with an adjacent vertex. What is the area of the intersection of the two kites?

(5 pont)

Deadline expired on April 11, 2016.

Statistics:

111 students sent a solution.
5 points:	Bukor Benedek, Cseh Noémi, Csorba Benjámin, Fajszi Bulcsú, Fekete Balázs Attila, Fraknói Ádám, Geretovszky Anna, Heller-Szabó Anna, Kiss Vivien Mercédesz, Kormányos Hanna Rebeka, Marozsák Tóbiás , Márton Anna, Molnár 410 István, Nagy Viktor, Németh Csilla Márta, Páhoki Tamás, Paulovics Péter, Póta Balázs, Pszota Máté, Sudár Ákos, Szauer Marcell, Szécsényi Júlia, Szonda Katalin, Tatai Mihály, Török 111 Emese, Varga 157 Kristóf, Weisz Máté, Zsombó István.
4 points:	33 students.
3 points:	20 students.
2 points:	6 students.
1 point:	4 students.
0 point:	20 students.

Problems in Mathematics of KöMaL, March 2016