{"status": "success", "data": {"description_md": "Square $EFGH$ has one vertex on each side of square $ABCD$.  Point $E$ is on $\\overline{AB}$ with $AE=7\\cdot EB$.  What is the ratio of the area of $EFGH$ to the area of $ABCD$?\n\n$\\textbf{(A)}\\,\\frac{49}{64}     \\qquad\\textbf{(B)}\\,\\frac{25}{32}     \\qquad\\textbf{(C)}\\,\\frac78 \\qquad\\textbf{(D)}\\,\\frac{5\\sqrt{2}}{8}   \\qquad\\textbf{(E)}\\,\\frac{\\sqrt{14}}{4}$", "description_html": "<p>Square  <span class=\"katex--inline\">EFGH</span>  has one vertex on each side of square  <span class=\"katex--inline\">ABCD</span> .  Point  <span class=\"katex--inline\">E</span>  is on  <span class=\"katex--inline\">\\overline{AB}</span>  with  <span class=\"katex--inline\">AE=7\\cdot EB</span> .  What is the ratio of the area of  <span class=\"katex--inline\">EFGH</span>  to the area of  <span class=\"katex--inline\">ABCD</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\,\\frac{49}{64}     \\qquad\\textbf{(B)}\\,\\frac{25}{32}     \\qquad\\textbf{(C)}\\,\\frac78 \\qquad\\textbf{(D)}\\,\\frac{5\\sqrt{2}}{8}   \\qquad\\textbf{(E)}\\,\\frac{\\sqrt{14}}{4}</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2011 AMC 10A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10A_p12", "prev": "/problem/11_amc10A_p10"}}