A calculus problem by Archit Tripathi

Calculus Level 5

A polygon of \(n\) sides is inscribed in the ellipse \(\dfrac{x^{2}}{a^{2}} + \dfrac{y^{2}}{b^{2}} = 1\). If the maximum possible area of the polygon is \(2\sqrt{2}\) \(ab\) square units, what is the value of \(n\)?

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