{"status": "success", "data": {"description_md": "**POTD January 28, 2024**\n\nLet $ABCD$ be a unit square. Let $EFGH$ be a rectangle inside of $ABCD$ such that $E,F,G$ are on $BC,CD,DA$, respectively, and $A,E,H$ collinear. If the longer side of the rectangle is $\\frac{7}{3}$ of the shorter side of the rectangle, and the area of the rectangle can be expressed as $\\frac{a}{b}$, where $a$ and $b$ are positive, coprime integers, find $a+b$.", "description_html": "<p><strong>POTD January 28, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">ABCD</span> be a unit square. Let <span class=\"katex--inline\">EFGH</span> be a rectangle inside of <span class=\"katex--inline\">ABCD</span> such that <span class=\"katex--inline\">E,F,G</span> are on <span class=\"katex--inline\">BC,CD,DA</span>, respectively, and <span class=\"katex--inline\">A,E,H</span> collinear. If the longer side of the rectangle is <span class=\"katex--inline\">\\frac{7}{3}</span> of the shorter side of the rectangle, and the area of the rectangle can be expressed as <span class=\"katex--inline\">\\frac{a}{b}</span>, where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are positive, coprime integers, find <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #54", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}