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Weekly Problem 38 - 2015

Stage: 3 and 4 Challenge Level: Challenge Level:1

The diagram shows a figure made from six equal, touching squares arranged with a vertical line of symmetry. A straight line is drawn through the bottom corner $P$ in such a way that that the area of the figure is halved.

Where will the cut cross the edge $XY$?

This problem is taken from the UKMT Mathematical Challenges.

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