Let A B C D E be an equiangular convex pentagon of perimeter 1 . The pairwise intersections of the lines that extend the sides of the pentagon determine a fivepointed star polygon. Let s be the perimeter of this star. What is the difference between the maximum and the minimum possible values of s ?
Answer Choices
A. 0
B. \dfrac{1}{2}
C. \dfrac{\sqrt{5}-1}{2}
D. \dfrac{\sqrt{5}+1}{2}
E. \sqrt{5}