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Problem of the Day #54: Lots of Circles May 12, 2011

Posted by Arjun in : potd , trackback

Isosceles trapezoid $ABCD$ has parallel sides of length $6$ and $8$.  We wish to place circles of radius $1$ and $2$ inside this trapezoid. If the number of circles of radius $1$ can only differ from the number of circles of radius $2$ by at most $2$, what is the maximum number of circles than can be placed inside the trapezoid with no overlap?

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