{"status": "success", "data": {"description_md": "Find the number of rectangles that can be formed inside a fixed regular dodecagon ($12$-gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. The diagram below shows three of those rectangles.<br><br>$\\includegraphics[width=69, height=69, totalheight=69]{https://latex.artofproblemsolving.com/d/8/0/d80928c69eafaba4e5d3848a9b4bb365ddc3c680.png}$\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>Find the number of rectangles that can be formed inside a fixed regular dodecagon (<span class=\"katex--inline\">12</span>-gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. The diagram below shows three of those rectangles.<br/><br/><img src=\"https://latex.artofproblemsolving.com/d/8/0/d80928c69eafaba4e5d3848a9b4bb365ddc3c680.png\" width=\"69\" height=\"69\" class=\"problem-image\"/></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": 6, "problem_name": "2024 AIME II Problem 15", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/24_aime_II_p14"}}