{"status": "success", "data": {"description_md": "Consider a triangle and a square of unit area. For each polygon, draw another polygon on the interior that connects midpoints of any two adjacent edges. The sum of the areas of the two interior polygons can be represented as $\\tfrac ab$ where $a$ and $b$ are relatively prime positive integers. Find $a+b$", "description_html": "<p>Consider a triangle and a square of unit area. For each polygon, draw another polygon on the interior that connects midpoints of any two adjacent edges. The sum of the areas of the two interior polygons can be represented as <span class=\"katex--inline\">\\tfrac ab</span> where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are relatively prime positive integers. Find <span class=\"katex--inline\">a+b</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Christmas Contest - Team Round - Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p12", "prev": "/problem/christmas1_team-p10"}}