{"status": "success", "data": {"description_md": "An equiangular octagon has four sides of length 1 and four sides of length $\\frac{\\sqrt{2}}{2}$, arranged so that no two consecutive sides have the same length.  What is the area of the octagon?\n\n$\\mathrm{(A) \\ } \\frac72\\qquad \\mathrm{(B) \\ }  \\frac{7\\sqrt2}{2}\\qquad \\mathrm{(C) \\ }  \\frac{5+4\\sqrt2}{2}\\qquad \\mathrm{(D) \\ }  \\frac{4+5\\sqrt2}{2}\\qquad \\mathrm{(E) \\ }  7$", "description_html": "<p>An equiangular octagon has four sides of length 1 and four sides of length  <span class=\"katex--inline\">\\frac{\\sqrt{2}}{2}</span> , arranged so that no two consecutive sides have the same length.  What is the area of the octagon?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac72\\qquad \\mathrm{(B) \\ }  \\frac{7\\sqrt2}{2}\\qquad \\mathrm{(C) \\ }  \\frac{5+4\\sqrt2}{2}\\qquad \\mathrm{(D) \\ }  \\frac{4+5\\sqrt2}{2}\\qquad \\mathrm{(E) \\ }  7</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": "2005 AMC 10A Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10A_p21", "prev": "/problem/05_amc10A_p19"}}