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'Intersecting Squares' printed from https://nrich.maths.org/
Three
congruent squares overlap as shown.
The areas of the three overlapping sections are $2\;\mathrm{cm}^2$, $5\;\mathrm{cm}^2$ and $8\;\mathrm{cm}^2$ respectively.
The total area of the non-overlapping parts of the squares is $117\;\mathrm{cm}^2$.
What is the side length of each square?
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