A right triangle inside a square

Geometry Level 3

Triangle \(AEF\) is a right triangle with \(AE=4\) and \(EF=3\). The triangle is inscribed inside square \(ABCD\) (\(E\) lies on \(BC\) and \(F\) lies on \(CD\)).(note: it is right angled at E)

What is the area of the square \(ABCD\) to 3 decimal places?

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