Difference between revisions of "2004 Indonesia MO Problems/Problem 8"

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Revision as of 12:55, 28 March 2020

Problem 8

A floor with an area of $3 \text{ m}^2$ will be covered by $5$ rugs with various shapes, each having an area of $1 \text{ m}^2$. Show that there exist $2$ overlapping rugs with the overlapped area at least $1/5 \text{ m}^2$.