{"status": "success", "data": {"description_md": "A regular pentagon with area $1+\\sqrt5$ 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?\n\n$\\textbf{(A)}~4-\\sqrt{5}\\qquad\\textbf{(B)}~\\sqrt{5}-1\\qquad\\textbf{(C)}~8-3\\sqrt{5}\\qquad\\textbf{(D)}~\\frac{\\sqrt{5}+1}{2}\\qquad\\textbf{(E)}~\\frac{2+\\sqrt{5}}{3}$", "description_html": "<p>A regular pentagon with area  <span class=\"katex--inline\">1+\\sqrt5</span>  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?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}~4-\\sqrt{5}\\qquad\\textbf{(B)}~\\sqrt{5}-1\\qquad\\textbf{(C)}~8-3\\sqrt{5}\\qquad\\textbf{(D)}~\\frac{\\sqrt{5}+1}{2}\\qquad\\textbf{(E)}~\\frac{2+\\sqrt{5}}{3}</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2023 AMC 10B Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/23_amc10B_p24"}}