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UKMT Junior Kangaroo, 2017

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The line $PQ$ is divided into six parts by the points $V$ , $W$ , $X$ , $Y$ and $Z$ . Squares are drawn on $PV$ , $VW$ , $WX$ , $XY$ , $YZ$ and $ZQ$ as shown in the diagram. The length of line $PQ$ is $24$ cm. What is the length of the path from $P$ to $Q$ indicated by the arrows?

(A) $48$ cm (B) $60$ cm (C) $66$ cm (D) $72$ cm (E) $96$ cm

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