Question: In triangle ABC, angle ABC = 150, AB = 3sqrt(3), and BC = 4. The line through A that is perpendicular to AB and

In triangle ABC, angle ABC = 150, AB = 3sqrt(3), and BC

In triangle ABC, angle ABC = 150, AB = 3sqrt(3), and BC = 4. The line through A that is perpendicular to AB and the line through C that is perpendicular to BC meet at D. Find the area of quadrilateral ABCD.

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