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2006 AIME I Question 7

AIME · 2006 AIME I

Question 7

An angle is drawn on a set of equally spaced parallel lines as shown. The ratio of the area of shaded region $\mathcal{C}$ to the area of shaded region $\mathcal{B}$ is $\frac{11}{5}.$ Find the ratio of the area of shaded region $\mathcal{D}$ to the area of shaded region $\mathcal{A}.$

Question illustration