VTMO 2026 - Grade 8 - Semifinal - SET 06 - Self-study Question 13

Rectangle $ABCD$ has $AB=7$ cm and $BC=24$ cm. Points $E,F$ on diagonal $AC$ satisfy $AE=CF=10$ cm. Lines $BE,BF$ meet $AD,CD$ at $G,H$, respectively. Find the area of quadrilateral $EFHG$ in cm².