{"status": "success", "data": {"description_md": "Two equilateral triangles are contained in a square whose side length is $2\\sqrt 3$. The bases of these triangles are the opposite sides of the square, and their intersection is a rhombus. What is the area of the rhombus?\n\n$\\text{(A) } \\frac{3}{2}\n\\qquad\n\\text{(B) } \\sqrt 3\n\\qquad\n\\text{(C) } 2\\sqrt 2 -   1 \n\\qquad\n\\text{(D) } 8\\sqrt 3 - 12\n\\qquad\n\\text{(E)}  \\frac{4\\sqrt 3}{3}$", "description_html": "<p>Two equilateral triangles are contained in a square whose side length is  <span class=\"katex--inline\">2\\sqrt 3</span> . The bases of these triangles are the opposite sides of the square, and their intersection is a rhombus. What is the area of the rhombus?</p>\n<p> <span class=\"katex--inline\">\\text{(A) } \\frac{3}{2}\n\\qquad\n\\text{(B) } \\sqrt 3\n\\qquad\n\\text{(C) } 2\\sqrt 2 -   1 \n\\qquad\n\\text{(D) } 8\\sqrt 3 - 12\n\\qquad\n\\text{(E)}  \\frac{4\\sqrt 3}{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": "2012 AMC 10B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10B_p15", "prev": "/problem/12_amc10B_p13"}}