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APMOPS 2009 Question 9

APMOPS · APMOPS 2009

Question 9

The diagram shows a regular hexagon $ABCDEF$. $G,H,I,J,K,L$ are the midpoints of $AB,BC,CD,DE,EF,FA$, respectively. Given $[ABCDEF]=100$ cm$^2$ and $[GHIJKL]=x$ cm$^2$, find $x$.

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