If the centroid of a triangle in $(1,4)$ and two of its vertices are $(4,-3)$ and $ (-9,7)$, then the area of the triangle is

Question

$\begin{array}{1 1}(A) \; 183\;sq.units \\(B)\;\large\frac{183}{2}\;sq.units \\(C)\;366\;sq.units \\(D)\;\large\frac{183}{4} \; sq.units\end{array}$