**From New Scientist #2732, 31st October 2009** [link]

Joe gave Penny a rectangular piece of card 12 centimetres by 8 centimetres with the instruction that she had to draw two intersecting straight lines across the card from adjacent corners. The point of intersection had to be such that by cutting along two of the lines from the intersection point to the edge of the card, a piece of card with an area equal to any multiple (from 1 to 6) of 8 square centimetres could be produced.

How far from the nearer shorter side was the point of intersection of the two lines?

[enigma1569]

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Solution:4 centimetres.