Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
 Already signed up? New to KöMaL?

# Problem C. 1339. (February 2016)

C. 1339. In a tree nursery, trees are planted at the lattice points of a $\displaystyle 30~\rm m\times 40~m$ square grid. The distance between adjacent trees along the grid lines is 1 metre. A meadow mouse goes for a morning walk around the tree grove. During his walk, his distance from the closest tree is 1 metre at every time instant. What is the total distance covered by the meadow mouse if he walks around without turning back?

(5 pont)

Deadline expired on March 10, 2016.

### Statistics:

 158 students sent a solution. 5 points: Bukor Benedek, Csorba Benjámin, Dávid Levente, Édes Lili, Erdélyi Janka, Fekete Balázs Attila, Fraknói Ádám, Geretovszky Anna, Gulácsi Zsombor, Heller-Szabó Anna, Horváth András János, Inges Zénó, Jánosdeák Márk, Karácsony Márton, Kasó Ferenc, Kiss Vivien Mercédesz, Kocsis Júlia, Komoróczy Ádám, Kormányos Hanna Rebeka, Kovács 124 Marcell, Marozsák Tóbiás , Márton Anna, Mayer Boglárka, Mikulás Zsófia, Mohácsi Márton, Molnár 410 István, Nagy 911 Viktória, Nagy 999 Benedek, Németh Csilla Márta, Páhoki Tamás, Paulovics Péter, Perger Kitti, Pinke Andrea, Pintér 345 Balázs, Pszota Máté, Riedel Zsuzsanna, Sebe Anna, Sudár Ákos, Szabó Alexandra, Szauer Marcell, Szécsi Adél Lilla, Szilágyi Éva, Szonda Katalin, Török 111 Emese, Török Réka , Varga 157 Kristóf, Weisz Máté, Weisz Viktória, Wesniczky Albert, Zsombó István. 4 points: 63 students. 3 points: 17 students. 2 points: 8 students. 1 point: 10 students. 0 point: 6 students. Unfair, not evaluated: 4 solutions.

Problems in Mathematics of KöMaL, February 2016