{"status": "success", "data": {"description_md": "Four circles of radius $1$ are each tangent to two sides of a square and externally tangent to a circle of radius $2$, as shown. What is the area of the square?\n$$\n<center>\n<img class=\"problem-image\" height=\"152\" src=\"https://latex.artofproblemsolving.com/2/3/7/23759fb5d0c074107da579ab5ce358f0aa30b5a0.png\" width=\"152\"/>\n</center>$$\n\n$\\text{(A)}\\ 32 \\qquad \\text{(B)}\\ 22 + 12\\sqrt {2}\\qquad \\text{(C)}\\ 16 + 16\\sqrt {3}\\qquad \\text{(D)}\\ 48 \\qquad \\text{(E)}\\ 36 + 16\\sqrt {2}$", "description_html": "<p>Four circles of radius  <span class=\"katex--inline\">1</span>  are each tangent to two sides of a square and externally tangent to a circle of radius  <span class=\"katex--inline\">2</span> , as shown. What is the area of the square?<br/>\n$$</p>\n<center>\n<img class=\"problem-image\" height=\"152\" src=\"https://latex.artofproblemsolving.com/2/3/7/23759fb5d0c074107da579ab5ce358f0aa30b5a0.png\" width=\"152\"/>\n</center>$$\n<p> <span class=\"katex--inline\">\\text{(A)}\\ 32 \\qquad \\text{(B)}\\ 22 + 12\\sqrt {2}\\qquad \\text{(C)}\\ 16 + 16\\sqrt {3}\\qquad \\text{(D)}\\ 48 \\qquad \\text{(E)}\\ 36 + 16\\sqrt {2}</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": 3, "problem_name": "2007 AMC 10A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10A_p16", "prev": "/problem/07_amc10A_p14"}}