{"status": "success", "data": {"description_md": "Points $A,B,C,D$ lie on a circle with $AB = 12$, $BC = 8$, $CD = 6$, and $AD = 16$. The area of $ABCD$ can be written as $m\\sqrt{n}$, where $m$ and $n$ are positive integers, and $n$ is not divisible by the square of any prime number. Find $m+n$.", "description_html": "<p>Points <span class=\"katex--inline\">A,B,C,D</span> lie on a circle with <span class=\"katex--inline\">AB = 12</span>, <span class=\"katex--inline\">BC = 8</span>, <span class=\"katex--inline\">CD = 6</span>, and <span class=\"katex--inline\">AD = 16</span>. The area of <span class=\"katex--inline\">ABCD</span> can be written as <span class=\"katex--inline\">m\\sqrt{n}</span>, where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are positive integers, and <span class=\"katex--inline\">n</span> is not divisible by the square of any prime number. Find <span class=\"katex--inline\">m+n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "AMC Practice #1 - Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/amc1-p10", "prev": "/problem/amc1-p08"}}