{"status": "success", "data": {"description_md": "Rectangle $ABCD$ has side lengths $AB=84$ and $AD=42$. Point $M$ is the midpoint of $\\overline{AD}$, point $N$ is the trisection point of $\\overline{AB}$ closer to $A$, and point $O$ is the intersection of $\\overline{CM}$ and $\\overline{DN}$. Point $P$ lies on the quadrilateral $BCON$, and $\\overline{BP}$ bisects the area of $BCON$. Find the area of $\\triangle{CDP}$.\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>Rectangle <span class=\"katex--inline\">ABCD</span> has side lengths <span class=\"katex--inline\">AB=84</span> and <span class=\"katex--inline\">AD=42</span>. Point <span class=\"katex--inline\">M</span> is the midpoint of <span class=\"katex--inline\">\\overline{AD}</span>, point <span class=\"katex--inline\">N</span> is the trisection point of <span class=\"katex--inline\">\\overline{AB}</span> closer to <span class=\"katex--inline\">A</span>, and point <span class=\"katex--inline\">O</span> is the intersection of <span class=\"katex--inline\">\\overline{CM}</span> and <span class=\"katex--inline\">\\overline{DN}</span>. Point <span class=\"katex--inline\">P</span> lies on the quadrilateral <span class=\"katex--inline\">BCON</span>, and <span class=\"katex--inline\">\\overline{BP}</span> bisects the area of <span class=\"katex--inline\">BCON</span>. Find the area of <span class=\"katex--inline\">\\triangle{CDP}</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": "2017 AIME II Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/17_aime_II_p11", "prev": "/problem/17_aime_II_p09"}}