{"status": "success", "data": {"description_md": "Convex pentagon $ABCDE$ has side lengths $AB=5$, $BC=CD=DE=6$, and $EA=7$. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of $ABCDE$.\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>Convex pentagon <span class=\"katex--inline\">ABCDE</span> has side lengths <span class=\"katex--inline\">AB=5</span>, <span class=\"katex--inline\">BC=CD=DE=6</span>, and <span class=\"katex--inline\">EA=7</span>. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of <span class=\"katex--inline\">ABCDE</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": 6, "problem_name": "2020 AIME II Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/20_aime_II_p14", "prev": "/problem/20_aime_II_p12"}}