Enigma 1546: Mini-tangram
27 March 2012
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From New Scientist #2709, 23rd May 2009 [link]
Joe cut out a cardboard rectangle 12.5 cm by 8 cm. He asked Penny to cut it into two pieces with one straight cut and then, with a second straight cut, to cut one of the pieces into two. Her problem was to work out where to make the cuts so that the three pieces could be arranged to form a square.
Penny found it quite easy once she realised that in each case one of the two cut pieces was a triangle.
What will be the area of the largest of the three pieces?
Note: There are actually two ways to solve this puzzle, and they give different answers for the area of the largest piece.