{"status": "success", "data": {"description_md": "Let $ABCDE$ be a convex pentagon with $AB\\parallel CE$, $BC\\parallel AD$, $AC\\parallel DE$, $\\angle ABC=120^\\circ$, $AB=3$, $BC=5$, and $DE=15$. Given that the ratio between the area of triangle $ABC$ and the area of triangle $EBD$ is $m/n$, where $m$ and $n$ are relatively prime positive integers, find $m+n$.\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": "

Let ABCDE be a convex pentagon with AB\\parallel CE, BC\\parallel AD, AC\\parallel DE, \\angle ABC=120^\\circ, AB=3, BC=5, and DE=15. Given that the ratio between the area of triangle ABC and the area of triangle EBD is m/n, where m and n are relatively prime positive integers, find m+n.

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "2004 AIME II Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/04_aime_II_p14", "prev": "/problem/04_aime_II_p12"}}