{"status": "success", "data": {"description_md": "Quadrilateral $ABCD$ satisfies $\\angle ABC = \\angle ACD = 90^{\\circ}, AC = 20$, and $CD = 30$. Diagonals $\\overline{AC}$ and $\\overline{BD}$ intersect at point $E$, and $AE = 5$. What is the area of quadrilateral $ABCD$?\n\n$\\textbf{(A) } 330 \\qquad\\textbf{(B) } 340 \\qquad\\textbf{(C) } 350 \\qquad\\textbf{(D) } 360 \\qquad\\textbf{(E) } 370$\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>Quadrilateral  <span class=\"katex--inline\">ABCD</span>  satisfies  <span class=\"katex--inline\">\\angle ABC = \\angle ACD = 90^{\\circ}, AC = 20</span> , and  <span class=\"katex--inline\">CD = 30</span> . Diagonals  <span class=\"katex--inline\">\\overline{AC}</span>  and  <span class=\"katex--inline\">\\overline{BD}</span>  intersect at point  <span class=\"katex--inline\">E</span> , and  <span class=\"katex--inline\">AE = 5</span> . What is the area of quadrilateral  <span class=\"katex--inline\">ABCD</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 330 \\qquad\\textbf{(B) } 340 \\qquad\\textbf{(C) } 350 \\qquad\\textbf{(D) } 360 \\qquad\\textbf{(E) } 370</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": 3, "problem_name": "2020 AMC 12A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12A_p19", "prev": "/problem/20_amc12A_p17"}}