{"status": "success", "data": {"description_md": "Convex quadrilateral $ABCD$ has $AB=3$, $BC=4$, $CD=13$, $AD=12$, and $\\angle ABC=90^{\\circ}$, as shown. What is the area of the quadrilateral?<br><center><img class=\"problem-image\" alt='[asy] pair A=(0,0), B=(-3,0), C=(-3,-4), D=(48/5,-36/5); draw(A--B--C--D--A);  label(\"$A$\",A,N); label(\"$B$\",B,NW); label(\"$C$\",C,SW); label(\"$D$\",D,E); draw(rightanglemark(A,B,C,25)); [/asy]' class=\"latexcenter\" height=\"148\" src=\"https://latex.artofproblemsolving.com/e/d/6/ed685cbdb58e7beeff868e0123c51cd79633def7.png\" width=\"252\"/></center>\n\n$\\textbf{(A)}\\ 30\\qquad\\textbf{(B)}\\ 36\\qquad\\textbf{(C)}\\ 40\\qquad\\textbf{(D)}\\ 48\\qquad\\textbf{(E)}\\ 58.5$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Convex quadrilateral  <span class=\"katex--inline\">ABCD</span>  has  <span class=\"katex--inline\">AB=3</span> ,  <span class=\"katex--inline\">BC=4</span> ,  <span class=\"katex--inline\">CD=13</span> ,  <span class=\"katex--inline\">AD=12</span> , and  <span class=\"katex--inline\">\\angle ABC=90^{\\circ}</span> , as shown. What is the area of the quadrilateral?<br/><center><img class=\"latexcenter\" alt=\"[asy] pair A=(0,0), B=(-3,0), C=(-3,-4), D=(48/5,-36/5); draw(A--B--C--D--A);  label(&#34;$A$&#34;,A,N); label(&#34;$B$&#34;,B,NW); label(&#34;$C$&#34;,C,SW); label(&#34;$D$&#34;,D,E); draw(rightanglemark(A,B,C,25)); [/asy]\" height=\"148\" src=\"https://latex.artofproblemsolving.com/e/d/6/ed685cbdb58e7beeff868e0123c51cd79633def7.png\" width=\"252\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 30\\qquad\\textbf{(B)}\\ 36\\qquad\\textbf{(C)}\\ 40\\qquad\\textbf{(D)}\\ 48\\qquad\\textbf{(E)}\\ 58.5</span> </p>&#10;<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": 2, "problem_name": "2014 AMC 12B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p10", "prev": "/problem/14_amc12B_p08"}}