{"status": "success", "data": {"description_md": "A regular octagon $ABCDEFGH$ has an area of one square unit. What is the area of the rectangle $ABEF$?<br>[[File:Problem_15.PNG]]\n\n$\\text {(A) } 1-\\frac{\\sqrt{2}}{2} \\qquad \\text {(B) } \\frac{\\sqrt{2}}{4} \\qquad \\text {(C) } \\sqrt{2}-1 \\qquad \\text {(D) } \\frac{1}{2} \\qquad \\text {(E) } \\frac{1+\\sqrt{2}}{4}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "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> ?<br/>[[File:Problem_15.PNG]]</p>&#10;<p> <span class=\"katex--inline\">\\text {(A) } 1-\\frac{\\sqrt{2}}{2} \\qquad \\text {(B) } \\frac{\\sqrt{2}}{4} \\qquad \\text {(C) } \\sqrt{2}-1 \\qquad \\text {(D) } \\frac{1}{2} \\qquad \\text {(E) } \\frac{1+\\sqrt{2}}{4}</span> </p>&#10;<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": 3, "problem_name": "2003 AMC 12B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12B_p16", "prev": "/problem/03_amc12B_p14"}}