Enigma 1241: Jigsaw squares
13 April 2015
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From New Scientist #2397, 31st May 2003 [link]
George created a novel jigsaw by dissecting a wooden rectangle into 13 square pieces. The pieces had sides which were all different whole numbers of centimetres, and two had sides which are consecutive integers. They fit together in the arrangement shown, but you should not assume that the pieces are drawn to scale.
George’s mother found the squares lying around, and arranged them all together neatly to form a rectangle, with the same dimensions as George’s, but not in his arrangement. All seven of George’s edge pieces were also edge pieces in his mother’s jigsaw, but her layout had one more edge piece.
What were the dimensions of that piece?