In the rectangle \(ABCD\), \(A\) and \(B\) are the points \((4,2)\) and \((2,8)\) respectively.
Given that the equation \(AC\) is \(y=x-2\), find
the equation of \(BC\),
the coordinates of \(C\),
the coordinates of \(D\),
the area of the rectangle \(ABCD\).
This question needs an exact method that goes beyond accurate drawing.