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2014 AMC 10A Problem 16

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2014 AMC 10A Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Quadrilaterals & Polygon Areas · difficulty 3 of 5 · about 4 min · position P16-20

In rectangle $ABCD$ , $AB=1$ , $BC=2$ , and points $E$ , $F$ , and $G$ are midpoints of $\overline{BC}$ , $\overline{CD}$ , and $\overline{AD}$ , respectively. Point $H$ is the midpoint of $\overline{GE}$ . What is the area of the shaded region?

A)
$\dfrac1{12}$
B)
$\dfrac{\sqrt3}{18}$
C)
$\dfrac{\sqrt2}{12}$
D)
$\dfrac{\sqrt3}{12}$
E)
$\dfrac16$

2014 AMC 10A Problem 16

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