A regular pentagon with area 1+\sqrt{5} is printed on paper and cut out. All five vertices are folded to the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon?
Answer Choices
A. 4-\sqrt{5}
B. \sqrt{5}-1
C. 8-3 \sqrt{5}
D. \dfrac{1+\sqrt{5}}{2}
E. \dfrac{2+\sqrt{5}}{3}