Problem 104

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Problem 104: (2002 AMC12P, 19)

In quadrilateral $ABCD$, $m\angle B = m \angle C = 120^{\circ}, AB=3, BC=4,$ and $CD=5.$ Find the area of $ABCD.$ $\text{(A) }15 \qquad$ $ \text{(B) }9 \sqrt{3} \qquad$ $ \text{(C) }\frac{45 \sqrt{3}}{4} \qquad$ $ \text{(D) }\frac{47 \sqrt{3}}{4} \qquad$ $ \text{(E) }15 \sqrt{3}$

Solution

Exercise 104: Solution

In quadrilateral $ABCD$, $m\angle B=m\angle C=120^\circ$, $AB=4$, $BC=6$, $CD=7$. Find the area of $ABCD$.

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