Question 25A regular pentagon with area $\sqrt{5}+1$ is printed on paper and cut out. The five vertices of the pentagon are folded into the center of the pentagon, creating a smaller pentagon. What is the area of the new pentagon?$4-\sqrt{5}$$\sqrt{5}-1$$8-3\sqrt{5}$$\dfrac{\sqrt{5}+1}{2}$$\dfrac{2+\sqrt{5}}{3}$