{"status": "success", "data": {"description_md": "In trapezoid $ABCD$ we have $\\overline{AB}$ parallel to $\\overline{DC}$, $E$ as the midpoint of $\\overline{BC}$, and $F$ as the midpoint of $\\overline{DA}$. The area of $ABEF$ is twice the area of $FECD$. What is $AB/DC$?\n\n$\\mathrm{(A)} 2 \\qquad \\mathrm{(B)} 3 \\qquad \\mathrm{(C)} 5 \\qquad \\mathrm{(D)} 6 \\qquad \\mathrm{(E)} 8$", "description_html": "<p>In trapezoid  <span class=\"katex--inline\">ABCD</span>  we have  <span class=\"katex--inline\">\\overline{AB}</span>  parallel to  <span class=\"katex--inline\">\\overline{DC}</span> ,  <span class=\"katex--inline\">E</span>  as the midpoint of  <span class=\"katex--inline\">\\overline{BC}</span> , and  <span class=\"katex--inline\">F</span>  as the midpoint of  <span class=\"katex--inline\">\\overline{DA}</span> . The area of  <span class=\"katex--inline\">ABEF</span>  is twice the area of  <span class=\"katex--inline\">FECD</span> . What is  <span class=\"katex--inline\">AB/DC</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} 2 \\qquad \\mathrm{(B)} 3 \\qquad \\mathrm{(C)} 5 \\qquad \\mathrm{(D)} 6 \\qquad \\mathrm{(E)} 8</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": 4, "problem_name": "2005 AMC 10B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p24", "prev": "/problem/05_amc10B_p22"}}