{"status": "success", "data": {"description_md": "Let $ABCD$ be a convex quadrilateral with $AB=2, AD=7,$ and $CD=3$ such that the bisectors of acute angles $\\angle{DAB}$ and $\\angle{ADC}$ intersect at the midpoint of $\\overline{BC}.$ Find the square of the area of $ABCD.$\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>Let <span class=\"katex--inline\">ABCD</span> be a convex quadrilateral with <span class=\"katex--inline\">AB=2, AD=7,</span> and <span class=\"katex--inline\">CD=3</span> such that the bisectors of acute angles <span class=\"katex--inline\">\\angle{DAB}</span> and <span class=\"katex--inline\">\\angle{ADC}</span> intersect at the midpoint of <span class=\"katex--inline\">\\overline{BC}.</span> Find the square of the area of <span class=\"katex--inline\">ABCD.</span></p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 5, "problem_name": "2022 AIME II Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/22_aime_II_p12", "prev": "/problem/22_aime_II_p10"}}