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UKMT Grey Kangaroo, 2018

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Square $ABCD$ has sides of length 3 cm. The points $M$ and $N$ lie on $AD$ and $AB$ so that $CM$ and $CN$ split the square into three pieces of the same area. What is the length of $DM$ ?

(A) $0.5$ cm (B) $1$ cm (C) $1.5$ cm (D) $2$ cm (E) $2.5$ cm

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