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MathNet 2019-part-02 — 184 problems (EN–VI) Question 40

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 40

In the following figure, the largest square has area $1\ \mathrm{cm}^2$ and the middle square has area $M$. The area of the smallest square, which has a vertex on a side of the middle square, is $N$. What is the value of $N$ as a function of $M$?

Question illustration