Mathematical and Physical Journal
for High Schools
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Problem K. 445. (January 2015)

K. 445. Corner \(\displaystyle P\) of a square \(\displaystyle PQRS\) is folded up to coincide with corner \(\displaystyle R\). Then \(\displaystyle Q\) is also folded to \(\displaystyle R\). The area of the resulting figure is 9 cm\(\displaystyle {}^{2}\). What is the area of the original square?

(6 pont)

Deadline expired on February 10, 2015.


Statistics:

108 students sent a solution.
6 points:Ágoston Tamás, Cselovszki Tamás, Csiszer Bence, Csizmadia Róbert, Csuha Boglárka, Cu Le Dieu Huong, Dévény Csaba, Dévényi Dalma, Encz Koppány, Farkas Lilla, Farkas Panka, Fazekas 15 Levente, Fekete Balázs Attila, Hakk Bence Béla, Harsányi Benedek, Horváth Noémi, Illés Barnabás, Kaposi Zsófia Fanni, Kovács Richárd, Maksa Gergő, Márton Anna, Mészáros Melinda, Mihályházi Péter, Nagy Viktor, Németh Csilla Márta, Oravecz Janka Éva, Páhoki Tamás, Paulovics Péter, Péri Gergő Gábor, Pongrácz Edina, Rittgasszer Ákos, Sepp Márton, Sipos Fanni Emma, Sisák László Sándor, Szakali Benedek, Szalay Gergő, Szarka Álmos, Szilágyi Botond, Szőcs Krisztina, Tamási Kristóf Áron, Thuróczy Mylan, Valentiny Anett, Valkó Bence.
5 points:25 students.
4 points:21 students.
3 points:7 students.
2 points:4 students.
1 point:3 students.
0 point:3 students.
Unfair, not evaluated:2 solutions.

Problems in Mathematics of KöMaL, January 2015