{"status": "success", "data": {"description_md": "For some positive integers $p$, there is a quadrilateral $ABCD$ with positive integer side lengths, perimeter $p$, right angles at $B$ and $C$, $AB=2$, and $CD=AD$.  How many different values of $p<2015$ are possible?\n\n$\\textbf{(A) }30\\qquad\\textbf{(B) }31\\qquad\\textbf{(C) }61\\qquad\\textbf{(D) }62\\qquad\\textbf{(E) }63$", "description_html": "<p>For some positive integers  <span class=\"katex--inline\">p</span> , there is a quadrilateral  <span class=\"katex--inline\">ABCD</span>  with positive integer side lengths, perimeter  <span class=\"katex--inline\">p</span> , right angles at  <span class=\"katex--inline\">B</span>  and  <span class=\"katex--inline\">C</span> ,  <span class=\"katex--inline\">AB=2</span> , and  <span class=\"katex--inline\">CD=AD</span> .  How many different values of  <span class=\"katex--inline\">p&lt;2015</span>  are possible?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }30\\qquad\\textbf{(B) }31\\qquad\\textbf{(C) }61\\qquad\\textbf{(D) }62\\qquad\\textbf{(E) }63</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": 4, "problem_name": "2015 AMC 10A Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/15_amc10A_p24"}}