{"status": "success", "data": {"description_md": "Trapezoid $ABCD$ has bases $\\overline{AB}$ and $\\overline{CD}$ and diagonals intersecting at $K$. Suppose that $AB = 9$, $DC = 12$, and the area of $\\triangle AKD$ is $24$. What is the area of trapezoid $ABCD$?\n\n$\\mathrm{(A)}\\ 92\\qquad\\mathrm{(B)}\\ 94\\qquad\\mathrm{(C)}\\ 96\\qquad\\mathrm{(D)}\\ 98 \\qquad\\mathrm{(E)}\\ 100$", "description_html": "<p>Trapezoid  <span class=\"katex--inline\">ABCD</span>  has bases  <span class=\"katex--inline\">\\overline{AB}</span>  and  <span class=\"katex--inline\">\\overline{CD}</span>  and diagonals intersecting at  <span class=\"katex--inline\">K</span> . Suppose that  <span class=\"katex--inline\">AB = 9</span> ,  <span class=\"katex--inline\">DC = 12</span> , and the area of  <span class=\"katex--inline\">\\triangle AKD</span>  is  <span class=\"katex--inline\">24</span> . What is the area of trapezoid  <span class=\"katex--inline\">ABCD</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 92\\qquad\\mathrm{(B)}\\ 94\\qquad\\mathrm{(C)}\\ 96\\qquad\\mathrm{(D)}\\ 98 \\qquad\\mathrm{(E)}\\ 100</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": "2008 AMC 10A Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10A_p21", "prev": "/problem/08_amc10A_p19"}}