VTMO 2017 — Grade 8 — semifinal Question 15

Square $ABCD$ has side $9 \,\mathrm{cm} , M , N , P , Q$ on $AB , BC , CD , DA$ with $AM = BN = CP = DQ = 3$. Let $E , H$ be $AC$’s intersections with $MQ , NP$, and $F , K BD$’s intersections with $MN , PQ$. Find square $EFHK$’s area.