In Δ ABC, D and E are points on sides AB and BC, respectively, such that DE ∥ AC. If \(BD = 4\sqrt 6\) and \(AB = 12\sqrt 3\) cm, then the ratio of the area of Δ BDE to that of quadrilateral ACED is:

1
4 ∶ 11
2
2 ∶ 9
3
2 ∶ 7
4
1 ∶ 3

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