{"status": "success", "data": {"description_md": "A regular octagon $ABCDEFGH$ has an area of one square unit. What is the area of the rectangle $ABEF$?\n\n<center>\n<img class=\"problem-image\" height=\"118\" src=\"https://latex.artofproblemsolving.com/5/0/e/50ef8af0ec716cfeea89017a030c7d57d3b40e4c.png\" width=\"125\"/>\n</center>\n\n$\\textbf{(A) } 1 - \\frac{\\sqrt{2}}{2} \\qquad\\textbf{(B) } \\frac{\\sqrt{2}}{4} \\qquad\\textbf{(C) } \\sqrt{2} - 1 \\qquad\\textbf{(D) } \\frac{1}{2} \\qquad\\textbf{(E) } \\frac{1+\\sqrt{2}}{4}$", "description_html": "<p>A regular octagon  <span class=\"katex--inline\">ABCDEFGH</span>  has an area of one square unit. What is the area of the rectangle  <span class=\"katex--inline\">ABEF</span> ?</p>\n<center>\n<img class=\"problem-image\" height=\"118\" src=\"https://latex.artofproblemsolving.com/5/0/e/50ef8af0ec716cfeea89017a030c7d57d3b40e4c.png\" width=\"125\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 1 - \\frac{\\sqrt{2}}{2} \\qquad\\textbf{(B) } \\frac{\\sqrt{2}}{4} \\qquad\\textbf{(C) } \\sqrt{2} - 1 \\qquad\\textbf{(D) } \\frac{1}{2} \\qquad\\textbf{(E) } \\frac{1+\\sqrt{2}}{4}</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": "2003 AMC 10B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p24", "prev": "/problem/03_amc10B_p22"}}