{"status": "success", "data": {"description_md": "Rectangle $ABCD$ has $AB=8$ and $BC=6$. Point $M$ is the midpoint of diagonal $\\overline{AC}$, and $E$ is on $AB$ with $\\overline{ME}\\perp\\overline{AC}$. What is the area of $\\triangle AME$?\n\n$\\text{(A) } \\frac{65}{8}\n\\qquad\n\\text{(B) } \\frac{25}{3}\n\\qquad\n\\text{(C) } 9\n\\qquad\n\\text{(D) } \\frac{75}{8}\n\\qquad\n\\text{(E) } \\frac{85}{8}$", "description_html": "<p>Rectangle  <span class=\"katex--inline\">ABCD</span>  has  <span class=\"katex--inline\">AB=8</span>  and  <span class=\"katex--inline\">BC=6</span> . Point  <span class=\"katex--inline\">M</span>  is the midpoint of diagonal  <span class=\"katex--inline\">\\overline{AC}</span> , and  <span class=\"katex--inline\">E</span>  is on  <span class=\"katex--inline\">AB</span>  with  <span class=\"katex--inline\">\\overline{ME}\\perp\\overline{AC}</span> . What is the area of  <span class=\"katex--inline\">\\triangle AME</span> ?</p>\n<p> <span class=\"katex--inline\">\\text{(A) } \\frac{65}{8}\n\\qquad\n\\text{(B) } \\frac{25}{3}\n\\qquad\n\\text{(C) } 9\n\\qquad\n\\text{(D) } \\frac{75}{8}\n\\qquad\n\\text{(E) } \\frac{85}{8}</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": "2009 AMC 10B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10B_p19", "prev": "/problem/09_amc10B_p17"}}