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A) \(16\sqrt3 \, \text{cm}^2\)
B) \(96\, \text{cm}^2\)
C) \(64\sqrt3 \, \text{cm}^2\)
D) \(96\sqrt3 \, \text{cm}^2\)
E) \(256\, \text{cm}^2\)
Answer: C
Source: Princeton Review
The figure shown is a regular hexagon with center \(H.\) the shaded area is a parallelogram that shares three vertices with the hexagon and its fourth vertex is the center of the hexagon. If the length of one side of the hexagon is \(8\) centimeters, what is the area of the unshaded region?
A) \(16\sqrt3 \, \text{cm}^2\)
B) \(96\, \text{cm}^2\)
C) \(64\sqrt3 \, \text{cm}^2\)
D) \(96\sqrt3 \, \text{cm}^2\)
E) \(256\, \text{cm}^2\)
Answer: C
Source: Princeton Review
