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2016 AMC 10B Problem 23

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2016 AMC 10B Problem 23AMC 10 Step by Step

Name: Date: September 13, 2026

Quadrilaterals & Polygon Areas · difficulty 4 of 5 · about 6 min · position P21-25

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 $ABCDEF$ ?

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

2016 AMC 10B Problem 23

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