{"status": "success", "data": {"description_md": "A convex quadrilateral $ABCD$ with area $2002$ contains a point $P$ in its interior such that $PA = 24, PB = 32, PC = 28, PD = 45$. Find the perimeter of $ABCD$.\n\n$\\mathrm{(A)}\\ 4\\sqrt{2002}<br>\\qquad\\mathrm{(B)}\\ 2\\sqrt{8465}<br>\\qquad\\mathrm{(C)}\\ 2(48+$ $\\sqrt{2002})<br>\\qquad\\mathrm{(D)}\\ 2\\sqrt{8633}<br>\\qquad\\mathrm{(E)}\\ 4(36 + \\sqrt{113})$\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 convex quadrilateral  <span class=\"katex--inline\">ABCD</span>  with area  <span class=\"katex--inline\">2002</span>  contains a point  <span class=\"katex--inline\">P</span>  in its interior such that  <span class=\"katex--inline\">PA = 24, PB = 32, PC = 28, PD = 45</span> . Find the perimeter of  <span class=\"katex--inline\">ABCD</span> .</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 4\\sqrt{2002}\\qquad\\mathrm{(B)}\\ 2\\sqrt{8465}\\qquad\\mathrm{(C)}\\ 2(48+</span>   <span class=\"katex--inline\">\\sqrt{2002})\\qquad\\mathrm{(D)}\\ 2\\sqrt{8633}\\qquad\\mathrm{(E)}\\ 4(36 + \\sqrt{113})</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": 5, "problem_name": "2002 AMC 12B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p25", "prev": "/problem/02_amc12B_p23"}}