{"status": "success", "data": {"description_md": "A square pyramid with base $ABCD$ and vertex $E$ has eight edges of length 4. A plane passes through the midpoints of $\\overline{AE}$, $\\overline{BC}$, and $\\overline{CD}$. The plane's intersection with the pyramid has an area that can be expressed as $\\sqrt{p}$. Find $p$.\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>A square pyramid with base <span class=\"katex--inline\">ABCD</span> and vertex <span class=\"katex--inline\">E</span> has eight edges of length 4. A plane passes through the midpoints of <span class=\"katex--inline\">\\overline{AE}</span>, <span class=\"katex--inline\">\\overline{BC}</span>, and <span class=\"katex--inline\">\\overline{CD}</span>. The plane&#8217;s intersection with the pyramid has an area that can be expressed as <span class=\"katex--inline\">\\sqrt{p}</span>. Find <span class=\"katex--inline\">p</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": "2007 AIME I Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/07_aime_I_p14", "prev": "/problem/07_aime_I_p12"}}