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Area of Quadrilateral with 120 Degree Angles

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April 6, 2013
geometry

Problem Statement

In quadrilateral ABCDABCD, m∠B=m∠C=120∘m\angle B=m\angle C=120^\circ, AB=3AB=3, BC=4BC=4, and CD=5CD=5. Find the area of ABCDABCD.
<spanclass=′latex−bold′>(A)</span>15<spanclass=′latex−bold′>(B)</span>93<spanclass=′latex−bold′>(C)</span>4534<spanclass=′latex−bold′>(D)</span>4734<spanclass=′latex−bold′>(E)</span>153<span class='latex-bold'>(A) </span>15\qquad<span class='latex-bold'>(B) </span>9\sqrt3\qquad<span class='latex-bold'>(C) </span>\dfrac{45\sqrt3}4\qquad<span class='latex-bold'>(D) </span>\dfrac{47\sqrt3}4\qquad<span class='latex-bold'>(E) </span>15\sqrt3
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