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VTMO 2026 - Grade 8 - Semifinal - SET 04 - Self-study Question 10

VTMO · VTMO 2026 - Grade 8 - Semifinal - SET 04 - Self-study

Question 10

Square $ABCD$ has side $9$ cm. Points $M,N,P,Q$ lie on $AB,BC,CD,DA$, with $AM=BN=CP=DQ=3$ cm. Let $E,H$ be the intersections of $AC$ with $MQ,NP$, respectively, and $F,K$ the intersections of $BD$ with $MN,PQ$. Find the area of square $EFHK$.

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