{"status": "success", "data": {"description_md": "Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of rhombus $ABCD$ is $24$ and $\\angle BAD = 60^\\circ$. What is the area of rhombus $BFDE$? \n\n<center>\n<img class=\"problem-image\" height=\"132\" src=\"https://latex.artofproblemsolving.com/0/9/d/09dc560e2b95497143ac284151b3cf4bd64ee463.png\" width=\"202\"/>\n</center>\n\n$\\mathrm{(A) \\ } 6\\qquad \\mathrm{(B) \\ } 4\\sqrt{3}\\qquad \\mathrm{(C) \\ } 8\\qquad \\mathrm{(D) \\ } 9\\qquad \\mathrm{(E) \\ } 6\\sqrt{3}$", "description_html": "<p>Rhombus  <span class=\"katex--inline\">ABCD</span>  is similar to rhombus  <span class=\"katex--inline\">BFDE</span> . The area of rhombus  <span class=\"katex--inline\">ABCD</span>  is  <span class=\"katex--inline\">24</span>  and  <span class=\"katex--inline\">\\angle BAD = 60^\\circ</span> . What is the area of rhombus  <span class=\"katex--inline\">BFDE</span> ?</p>\n<center>\n<img class=\"problem-image\" height=\"132\" src=\"https://latex.artofproblemsolving.com/0/9/d/09dc560e2b95497143ac284151b3cf4bd64ee463.png\" width=\"202\"/>\n</center>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 6\\qquad \\mathrm{(B) \\ } 4\\sqrt{3}\\qquad \\mathrm{(C) \\ } 8\\qquad \\mathrm{(D) \\ } 9\\qquad \\mathrm{(E) \\ } 6\\sqrt{3}</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": "2006 AMC 10B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10B_p16", "prev": "/problem/06_amc10B_p14"}}