Mathematical and Physical Journal
for High Schools
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Problem K. 870. (October 2025)

K. 870. How can 5 identical squares be dissected into a single big square with at most 5 straight cuts? (During cutting, the individual pieces cannot be stacked, and each cut can be applied to a single piece.) Find a solution.

(5 pont)

Deadline expired on November 10, 2025.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Ha a négyzet oldala 1 egység, akkor a nagy négyzet területe 5 egység, így az oldala \(\displaystyle \sqrt{5}\) egység hosszú. Az első ábrán 5 vágással, a másodikon 4 vágással oldottuk meg a feladatot.


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Problems in Mathematics of KöMaL, October 2025