{"status": "success", "data": {"description_md": "**POTD November 24, 2023**\n**Author:** qgek\n\n$\\bigtriangleup ABC$ has an area of $40$ square units. Let there be \\\npoints $D$, and $E$, on $AC$ and $AB$ respectively, such that $AE = BE$ and $\\frac{AD}{DC} = \\frac{2}{3}$. Connect $BD$ and $EC$, and let them intersect at point $O$. Find the area of quadrilateral $AEOD$.", "description_html": "<p><strong>POTD November 24, 2023</strong><br/>&#10;<strong>Author:</strong> qgek</p>&#10;<p><span class=\"katex--inline\">\\bigtriangleup ABC</span> has an area of <span class=\"katex--inline\">40</span> square units. Let there be <br/>&#10;points <span class=\"katex--inline\">D</span>, and <span class=\"katex--inline\">E</span>, on <span class=\"katex--inline\">AC</span> and <span class=\"katex--inline\">AB</span> respectively, such that <span class=\"katex--inline\">AE = BE</span> and <span class=\"katex--inline\">\\frac{AD}{DC} = \\frac{2}{3}</span>. Connect <span class=\"katex--inline\">BD</span> and <span class=\"katex--inline\">EC</span>, and let them intersect at point <span class=\"katex--inline\">O</span>. Find the area of quadrilateral <span class=\"katex--inline\">AEOD</span>.</p>&#10;", "hints_md": "Triangle area method goes a long way...\nAlternatively, you can use [mass points](https://artofproblemsolving.com/wiki/index.php/Mass_points), which make solving this problem much faster and easier.", "hints_html": "<p>Triangle area method goes a long way&#8230;<br/>&#10;Alternatively, you can use <a href=\"https://artofproblemsolving.com/wiki/index.php/Mass_points\">mass points</a>, which make solving this problem much faster and easier.</p>&#10;", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #5", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}