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A triangle ABC (with usual notations) is...

A triangle ABC (with usual notations) is a right angled isosceles triangle right angled at B. Let a line isdrawn passing through the centroid 'G' of the triangle and parallel to BC intersecting sides `AB and AC` at `D and E` respectively, if length of `BC = 9`, then the area of quadrilateral ADGF (where F is the midpoint of AC) is

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