{"status": "success", "data": {"description_md": "A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is 2:1. What is the area of the rectangle?<br><center><img class=\"problem-image\" alt=\"[asy] draw((0,0)--(0,10)--(20,10)--(20,0)--cycle);  draw(circle((10,5),5)); [/asy]\" class=\"latexcenter\" height=\"128\" src=\"https://latex.artofproblemsolving.com/1/6/2/1627a134d8cbe234c9b8224ec84ebc3d479d85a8.png\" width=\"252\"/></center>\n\n$\\textbf{(A)}\\ 50\\qquad\\textbf{(B)}\\ 100\\qquad\\textbf{(C)}\\ 125\\qquad\\textbf{(D)}\\ 150\\qquad\\textbf{(E)}\\ 200$\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 circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is 2:1. What is the area of the rectangle?<br/><center><img class=\"latexcenter\" alt=\"[asy] draw((0,0)--(0,10)--(20,10)--(20,0)--cycle);  draw(circle((10,5),5)); [/asy]\" height=\"128\" src=\"https://latex.artofproblemsolving.com/1/6/2/1627a134d8cbe234c9b8224ec84ebc3d479d85a8.png\" width=\"252\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 50\\qquad\\textbf{(B)}\\ 100\\qquad\\textbf{(C)}\\ 125\\qquad\\textbf{(D)}\\ 150\\qquad\\textbf{(E)}\\ 200</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": "2012 AMC 12B Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc12B_p03", "prev": "/problem/12_amc12B_p01"}}