{"status": "success", "data": {"description_md": "Equilateral triangles $AWX$ and $BXY$ are constructed outside of a square $WXYZ$. Given that $WX=2$ and that the area of $ABYZW$ can be expressed as $a + \\sqrt b$ for positive integers $a$ and $b$, compute $a+b$.", "description_html": "<p>Equilateral triangles <span class=\"katex--inline\">AWX</span> and <span class=\"katex--inline\">BXY</span> are constructed outside of a square <span class=\"katex--inline\">WXYZ</span>. Given that <span class=\"katex--inline\">WX=2</span> and that the area of <span class=\"katex--inline\">ABYZW</span> can be expressed as <span class=\"katex--inline\">a + \\sqrt b</span> for positive integers <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span>, compute <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "TxO Math Bowl 2024 - Guts Contest - Set 1 Problem 3", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}