{"status": "success", "data": {"description_md": "Rectangle $ABCD$ has $AB=4$ and $BC=3$. Segment $EF$ is constructed through $B$ so that $EF$ is perpendicular to $DB$, and $A$ and $C$ lie on $DE$ and $DF$, respectively. What is $EF$?\n\n$\\mathrm{(A)}\\ 9\n\\qquad\n\\mathrm{(B)}\\ 10\n\\qquad\n\\mathrm{(C)}\\ \\frac {125}{12}\n\\qquad\n\\mathrm{(D)}\\ \\frac {103}{9}\n\\qquad\n\\mathrm{(E)}\\ 12$", "description_html": "<p>Rectangle  <span class=\"katex--inline\">ABCD</span>  has  <span class=\"katex--inline\">AB=4</span>  and  <span class=\"katex--inline\">BC=3</span> . Segment  <span class=\"katex--inline\">EF</span>  is constructed through  <span class=\"katex--inline\">B</span>  so that  <span class=\"katex--inline\">EF</span>  is perpendicular to  <span class=\"katex--inline\">DB</span> , and  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">C</span>  lie on  <span class=\"katex--inline\">DE</span>  and  <span class=\"katex--inline\">DF</span> , respectively. What is  <span class=\"katex--inline\">EF</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 9\n\\qquad\n\\mathrm{(B)}\\ 10\n\\qquad\n\\mathrm{(C)}\\ \\frac {125}{12}\n\\qquad\n\\mathrm{(D)}\\ \\frac {103}{9}\n\\qquad\n\\mathrm{(E)}\\ 12</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": "2009 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10A_p18", "prev": "/problem/09_amc10A_p16"}}