**From New Scientist #2657, 24th May 2008**

I took an A3 sheet of paper and cut from it a rectangle with each of its sides a whole number of centimetres long. I discarded the rest of the sheet. Then I folded the rectangle so that one corner coincided with the diagonally opposite corner. That left me with a pentagon in which each of the sides was a whole number of centimetres long.

How long were the sides of the rectangle?

**Note:** An A3 sheet of paper has dimensions of 297 mm × 420 mm.

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Solution:The rectangle was 24cm × 32cm.