{"status": "success", "data": {"description_md": "In rectangle $ABCD$, $AB=6$, $AD=30$, and $G$ is the midpoint of $\\overline{AD}$. Segment $AB$ is extended 2 units beyond $B$ to point $E$, and $F$ is the intersection of $\\overline{ED}$ and $\\overline{BC}$. What is the area of $BFDG$?\n\n$\\textbf{(A)}\\ \\frac{133}{2}\\qquad\\textbf{(B)}\\ 67\\qquad\\textbf{(C)}\\ \\frac{135}{2}\\qquad\\textbf{(D)}\\ 68\\qquad\\textbf{(E)}\\ \\frac{137}{2}$", "description_html": "<p>In rectangle  <span class=\"katex--inline\">ABCD</span> ,  <span class=\"katex--inline\">AB=6</span> ,  <span class=\"katex--inline\">AD=30</span> , and  <span class=\"katex--inline\">G</span>  is the midpoint of  <span class=\"katex--inline\">\\overline{AD}</span> . Segment  <span class=\"katex--inline\">AB</span>  is extended 2 units beyond  <span class=\"katex--inline\">B</span>  to point  <span class=\"katex--inline\">E</span> , and  <span class=\"katex--inline\">F</span>  is the intersection of  <span class=\"katex--inline\">\\overline{ED}</span>  and  <span class=\"katex--inline\">\\overline{BC}</span> . What is the area of  <span class=\"katex--inline\">BFDG</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{133}{2}\\qquad\\textbf{(B)}\\ 67\\qquad\\textbf{(C)}\\ \\frac{135}{2}\\qquad\\textbf{(D)}\\ 68\\qquad\\textbf{(E)}\\ \\frac{137}{2}</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": "2012 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10B_p20", "prev": "/problem/12_amc10B_p18"}}