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Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The length of a rectangular piece of paper is three times its width. The paper is folded so that one vertex lies on top of the opposite vertex, thus forming a pentagonal shape. What is the area of the pentagon as a fraction of the area of the original rectangle?

(A) $\dfrac{2}{3}$ (B) $\dfrac{11}{16}$ (C) $\dfrac{12}{17}$ (D) $\dfrac{13}{18}$ (E) $\dfrac{14}{19}$

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