2004 Indonesia MO Problems/Problem 8: Difference between revisions
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A floor with an area of <math>3 \text{ m}^2</math> will be covered by <math>5</math> rugs with various shapes, each having an area of <math>1 \text{ m}^2</math>. Show that there exist <math>2</math> overlapping rugs with the overlapped area at least <math>1/5 \text{ m}^2</math>. | A floor with an area of <math>3 \text{ m}^2</math> will be covered by <math>5</math> rugs with various shapes, each having an area of <math>1 \text{ m}^2</math>. Show that there exist <math>2</math> overlapping rugs with the overlapped area at least <math>1/5 \text{ m}^2</math>. | ||
==Solution== | |||
Revision as of 11:58, 28 March 2020
Problem 8
A floor with an area of 
will be covered by 
rugs with various shapes, each having an area of 
. Show that there exist 
overlapping rugs with the overlapped area at least 
.
