The diagram shows a large rectangle whose perimeter is 300cm. It is divided up as shown into a number of identical rectangles, each of perimeter 58cm. Each side of these rectangles is a whole number of centimetres. Show that are exactly two possibilities for the number of smaller rectangles and find the size of the large rectangle in each case. (Input Note: Don't include the units)
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Junior Mathematical Olympiad 2001 (2001)
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