Can we find the area of this quadrilateral?

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In the quadrilateral \(ABCD\), the points \(A\), \(B\) and \(D\) are at \((3, 3)\), \((0, -1)\) and \((6, 2)\) respectively. The line \(BD\) bisects the line \(AC\) at right angles at the point \(M\). Find the equation of \(BD\) and of \(AC\).

Calculate

1. the coordinates of \(M\),
2. the coordinates of \(C\),
3. the area of the quadrilateral \(ABCD\).