{"status": "success", "data": {"description_md": "Let $GLEB$ be a square. Let $M$ and $Z$ be points on $GL$ and $EB$ respectively. The area of quadrilateral $GMBZ$ is $29$. The area of $MLEZ$ is $37$, and $\\frac{GM}{ML} = 2$. If $\\frac{BZ}{ZE} = \\frac{a}{b}$, where $a$ and $b$ are relatively prime, positive integers, find $a+b$.\n\n<img src=\"/static/p1.22.png\" width=\"400px\"><br>\n\n$(\\textbf{A})\\;15\\quad(\\textbf{B})\\;5\\quad(\\textbf{C})\\;47\\quad(\\textbf{D})\\;34\\quad(\\textbf{E})\\;33$", "description_html": "<p>Let <span class=\"katex--inline\">GLEB</span> be a square. Let <span class=\"katex--inline\">M</span> and <span class=\"katex--inline\">Z</span> be points on <span class=\"katex--inline\">GL</span> and <span class=\"katex--inline\">EB</span> respectively. The area of quadrilateral <span class=\"katex--inline\">GMBZ</span> is <span class=\"katex--inline\">29</span>. The area of <span class=\"katex--inline\">MLEZ</span> is <span class=\"katex--inline\">37</span>, and <span class=\"katex--inline\">\\frac{GM}{ML} = 2</span>. If <span class=\"katex--inline\">\\frac{BZ}{ZE} = \\frac{a}{b}</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;<p><img src=\"/static/p1.22.png\" width=\"400px\"/><br/></p>&#10;<p><span class=\"katex--inline\">(\\textbf{A})\\;15\\quad(\\textbf{B})\\;5\\quad(\\textbf{C})\\;47\\quad(\\textbf{D})\\;34\\quad(\\textbf{E})\\;33</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Mock AMC 8 #1 - Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/amc8mock1-p23", "prev": "/problem/amc8mock1-p21"}}