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'Square Ratio' printed from http://nrich.maths.org/
A square is divided into four congruent rectangles and a smaller square, as shown.
(The diagram is not to scale.)
The area of the small square is 1/4 of the area of the whole square.
What is the ratio of the length of a short side of one of the rectangles to the length of a long side?
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This problem is taken from the UKMT Mathematical Challenges.