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SMO 2013 Open Round 1 Question 12

SMO · SMO 2013 Open Round 1

Question 12

In the figure below, $ABCD$ is a square with $AB=20$ cm (not drawn to scale). Assume that $M$ is a point such that the area of the shaded region is $40$ cm$^2$. Find $AM$ in centimetres.

Question illustration