{"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>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2015 AMC 10A Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p25", "prev": "/problem/15_amc10A_p23"}}