The area of the rectangle \(ABCD\) is \(60\) \(\mathrm{cm}^2\). \(E\), \(F\) are on sides \(BC\) and \(CD\), such that \(BE = 3\) \(\mathrm{cm}\) and \(DF = 2\) \(\mathrm{cm}\). Find the area of triangle \(AEF\).

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