# Find the area of the largest rectangle that can be inscribed in the ellipse frac{x^{2}}{a^{2}}+frac{y^{2}}{b^{2}}=1

Find the area of the largest rectangle that can be inscribed in the ellipse $$\displaystyle{\frac{{{x}^{{{2}}}}}{{{a}^{{{2}}}}}}+{\frac{{{y}^{{{2}}}}}{{{b}^{{{2}}}}}}={1}$$

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Corben Pittman
The ellipse will be: