{"status": "success", "data": {"description_md": "In regular hexagon $ABCDEF$, points $W$, $X$, $Y$, and $Z$ are chosen on sides $\\overline{BC}$, $\\overline{CD}$, $\\overline{EF}$, and $\\overline{FA}$ respectively, so lines $AB$, $ZW$, $YX$, and $ED$ are parallel and equally spaced. What is the ratio of the area of hexagon $WCXYFZ$ to the area of hexagon $ABCDEF$?\n\n$\\textbf{(A)}\\ \\frac{1}{3}\\qquad\\textbf{(B)}\\ \\frac{10}{27}\\qquad\\textbf{(C)}\\ \\frac{11}{27}\\qquad\\textbf{(D)}\\ \\frac{4}{9}\\qquad\\textbf{(E)}\\ \\frac{13}{27}$", "description_html": "

In regular hexagon ABCDEF , points W , X , Y , and Z are chosen on sides \\overline{BC} , \\overline{CD} , \\overline{EF} , and \\overline{FA} respectively, so lines AB , ZW , YX , and ED are parallel and equally spaced. What is the ratio of the area of hexagon WCXYFZ to the area of hexagon ABCDEF ?

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\\textbf{(A)}\\ \\frac{1}{3}\\qquad\\textbf{(B)}\\ \\frac{10}{27}\\qquad\\textbf{(C)}\\ \\frac{11}{27}\\qquad\\textbf{(D)}\\ \\frac{4}{9}\\qquad\\textbf{(E)}\\ \\frac{13}{27}

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Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2016 AMC 10B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc10B_p24", "prev": "/problem/16_amc10B_p22"}}