{"status": "success", "data": {"description_md": "Four congruent rectangles are placed as shown. The area of the outer square is $4$ times that of the inner square. What is the ratio of the length of the longer side of each rectangle to the length of its shorter side?\n\n<center>\n<img class=\"problem-image\" height=\"115\" src=\"https://latex.artofproblemsolving.com/4/f/8/4f8d08abd119d663ad6630516ebc1b3bd784727e.png\" width=\"115\"/>\n</center><br>\n\n$\\mathrm{(A)}\\ 3\n\\qquad\n\\mathrm{(B)}\\ \\sqrt {10}\n\\qquad\n\\mathrm{(C)}\\ 2 + \\sqrt2\n\\qquad\n\\mathrm{(D)}\\ 2\\sqrt3 \n\\qquad\n\\mathrm{(E)}\\ 4$", "description_html": "<p>Four congruent rectangles are placed as shown. The area of the outer square is <span class=\"katex--inline\">4</span> times that of the inner square. What is the ratio of the length of the longer side of each rectangle to the length of its shorter side?</p>&#10;<center>&#10;<img class=\"problem-image\" height=\"115\" src=\"https://latex.artofproblemsolving.com/4/f/8/4f8d08abd119d663ad6630516ebc1b3bd784727e.png\" width=\"115\"/>&#10;</center><br/>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 3&#10;\\qquad&#10;\\mathrm{(B)}\\ \\sqrt {10}&#10;\\qquad&#10;\\mathrm{(C)}\\ 2 + \\sqrt2&#10;\\qquad&#10;\\mathrm{(D)}\\ 2\\sqrt3 &#10;\\qquad&#10;\\mathrm{(E)}\\ 4</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2009 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10A_p15", "prev": "/problem/09_amc10A_p13"}}