{"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$\\textbf{(A) } 330 \\qquad \\textbf{(B) } 340 \\qquad \\textbf{(C) } 350 \\qquad \\textbf{(D) } 360 \\qquad \\textbf{(E) } 370$", "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>\n<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>\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": "2020 AMC 10A Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10A_p21", "prev": "/problem/20_amc10A_p19"}}