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APMOPS 2007 Question 18

APMOPS · APMOPS 2007

Question 18

$ABCD$ is a rectangle, and $A,E,F$; $B,E,H$; $H,G,C$; $F,G,D$ are collinear. The quadrilateral $EFGH$ has area 82 cm$^2$. Find the total area of the shaded regions in cm$^2$.

Question illustration