{"status": "success", "data": {"description_md": "In rectangle $ABCD$, denote $O$ as the center of the circle circumscribing $ABCD$, and let $E \\neq B$ be the point on $\\overline{AB}$ such that $E$ lies on the circumcircle of $\\triangle OBC$. Given that $OE=3$ and $AE=5$, and the area of $ABCD$ is $K$, compute $100K$.", "description_html": "<p>In rectangle <span class=\"katex--inline\">ABCD</span>, denote <span class=\"katex--inline\">O</span> as the center of the circle circumscribing <span class=\"katex--inline\">ABCD</span>, and let <span class=\"katex--inline\">E \\neq B</span> be the point on <span class=\"katex--inline\">\\overline{AB}</span> such that <span class=\"katex--inline\">E</span> lies on the circumcircle of <span class=\"katex--inline\">\\triangle OBC</span>. Given that <span class=\"katex--inline\">OE=3</span> and <span class=\"katex--inline\">AE=5</span>, and the area of <span class=\"katex--inline\">ABCD</span> is <span class=\"katex--inline\">K</span>, compute <span class=\"katex--inline\">100K</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "TxO Math Bowl 2024 - Guts Contest - Set 6 Problem 3", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}