{"status": "success", "data": {"description_md": "**POTD July 9, 2024**\n\nConvex hexagon $ABCDEF$ is drawn in the plane such that $ACDF$ and $ABDE$ are parallelograms\nwith area $168$. $AC$ and $BD$ intersect at $G$. Given that the area of $AGB$ is $10$ more than the area of $CGB$, find the smallest possible area of hexagon $ABCDEF$.", "description_html": "<p><strong>POTD July 9, 2024</strong></p>&#10;<p>Convex hexagon <span class=\"katex--inline\">ABCDEF</span> is drawn in the plane such that <span class=\"katex--inline\">ACDF</span> and <span class=\"katex--inline\">ABDE</span> are parallelograms<br/>&#10;with area <span class=\"katex--inline\">168</span>. <span class=\"katex--inline\">AC</span> and <span class=\"katex--inline\">BD</span> intersect at <span class=\"katex--inline\">G</span>. Given that the area of <span class=\"katex--inline\">AGB</span> is <span class=\"katex--inline\">10</span> more than the area of <span class=\"katex--inline\">CGB</span>, find the smallest possible area of hexagon <span class=\"katex--inline\">ABCDEF</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #212", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}