{"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><br>\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?</p>&#10;<center>&#10;<img class=\"problem-image\" height=\"152\" src=\"https://latex.artofproblemsolving.com/2/3/7/23759fb5d0c074107da579ab5ce358f0aa30b5a0.png\" width=\"152\"/>&#10;</center><br/>&#10;<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>&#10;", "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"}}