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'Weekly Problem 22 - 2006' printed from

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Plank inside the square
The diagram shows a $1$ by $x$ rectangular plank which fits neatly inside a $10 \times 10$ square frame. What is the value of $x$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.

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