VTMO 2019 — Grade 8 — semifinal Question 19

Rectangle $ABCD$ has $AB = 7 \,\mathrm{cm} , BC = 24 \,\mathrm{cm} , E , F$ on $AC , AE = CF = 10 \,\mathrm{cm}$. Let $G = BE \cap AD , H = BF \cap CD$. Find area $EFHG$.