{"status": "success", "data": {"description_md": "In triangle $ABC$, medians $AD$ and $CE$ intersect at $P$, $PE=1.5$, $PD=2$, and $DE=2.5$.  What is the area of $AEDC$?\n\n$\\textbf{(A)}13\\qquad\\textbf{(B)}13.5\\qquad\\textbf{(C)}14\\qquad\\textbf{(D)}14.5\\qquad\\textbf{(E)}15\\qquad$", "description_html": "<p>In triangle  <span class=\"katex--inline\">ABC</span> , medians  <span class=\"katex--inline\">AD</span>  and  <span class=\"katex--inline\">CE</span>  intersect at  <span class=\"katex--inline\">P</span> ,  <span class=\"katex--inline\">PE=1.5</span> ,  <span class=\"katex--inline\">PD=2</span> , and  <span class=\"katex--inline\">DE=2.5</span> .  What is the area of  <span class=\"katex--inline\">AEDC</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}13\\qquad\\textbf{(B)}13.5\\qquad\\textbf{(C)}14\\qquad\\textbf{(D)}14.5\\qquad\\textbf{(E)}15\\qquad</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": "2013 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10B_p17", "prev": "/problem/13_amc10B_p15"}}