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IMSO 2019 — Math Division — Short Answer Question 11

IMSO Maths · IMSO 2019 — Math Division — Short Answer

Question 11

Ten circular cards of radius 2 cm each are arranged as shown in the diagram.

Question illustration

Given that the four collinear points $A$, $C$, $E$ and $G$ are the centres of the white cards, and $AHIC$, $CIJE$, $EJKG$ and $COPE$ are rectangles and $BLMD$ and $DMNF$ are squares, what is the area, in cm², of the shaded region?