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SMO 2009 Junior Round 1 Question 12

SMO · SMO 2009 Junior Round 1

Question 12

The diagram shows an overlapping pentagon (regions $A,B$) and rectangle (regions $B,C$). Region $B$ is $3/16$ of the pentagon and $2/9$ of the rectangle. If the ratio of the area of region $A$ to that of region $C$ is $m/n$ in lowest terms, find $m+n$.

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