{"status": "success", "data": {"description_md": "A quadrilateral has vertices $P(a,b)$, $Q(b,a)$, $R(-a, -b)$, and $S(-b, -a)$, where $a$ and $b$ are integers with $a>b>0$. The area of $PQRS$ is $16$. What is $a+b$?\n\n$\\textbf{(A)}\\ 4 \\qquad\\textbf{(B)}\\ 5 \\qquad\\textbf{(C)}\\ 6 \\qquad\\textbf{(D)}\\ 12  \\qquad\\textbf{(E)}\\ 13$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A quadrilateral has vertices  <span class=\"katex--inline\">P(a,b)</span> ,  <span class=\"katex--inline\">Q(b,a)</span> ,  <span class=\"katex--inline\">R(-a, -b)</span> , and  <span class=\"katex--inline\">S(-b, -a)</span> , where  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  are integers with  <span class=\"katex--inline\">a&gt;b&gt;0</span> . The area of  <span class=\"katex--inline\">PQRS</span>  is  <span class=\"katex--inline\">16</span> . What is  <span class=\"katex--inline\">a+b</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 4 \\qquad\\textbf{(B)}\\ 5 \\qquad\\textbf{(C)}\\ 6 \\qquad\\textbf{(D)}\\ 12  \\qquad\\textbf{(E)}\\ 13</span> </p>&#10;<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": 2, "problem_name": "2016 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc12B_p11", "prev": "/problem/16_amc12B_p09"}}