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A perfect hexagon has a side length of 8. The longest intern
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20 Dec 2019, 10:32
20 Dec 2019, 10:32
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Question Stats:
92% (01:12) correct
7% (01:18) wrong based on 13 sessions
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A perfect hexagon has a side length of 8. The longest internal distance between any two points of the hexagon is twice as long as the length of a side. What is the area of the hexagon?
A. \(72 \sqrt{2}\)
B. \(144\)
C. \(48 \sqrt{3}\)
D. \(96 \sqrt{3}\)
E. \(196\)
Kudos for the right answer and explanation
A. \(72 \sqrt{2}\)
B. \(144\)
C. \(48 \sqrt{3}\)
D. \(96 \sqrt{3}\)
E. \(196\)
Kudos for the right answer and explanation
Re: A perfect hexagon has a side length of 8. The longest intern
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26 Dec 2019, 21:28
26 Dec 2019, 21:28
1
Is the piece about the internal distance in there to try to confuse the test taker? Ignoring that, it seems like a pretty straightforward question
The formula of a regular hexagon can be found using: (3sqrt(3))/(2) * s^2 where s is a side of the hexagon.
Given information tells us that the perfect hexagon has a side 8. Plug that into the formula above --
>>> (3 sqrt(3))/(2) * 64
>>> (192 sqrt(3))/(2)
>>> 96 sqrt (3)
Answer is D.
The formula of a regular hexagon can be found using: (3sqrt(3))/(2) * s^2 where s is a side of the hexagon.
Given information tells us that the perfect hexagon has a side 8. Plug that into the formula above --
>>> (3 sqrt(3))/(2) * 64
>>> (192 sqrt(3))/(2)
>>> 96 sqrt (3)
Answer is D.
gmatclubot
Re: A perfect hexagon has a side length of 8. The longest intern [#permalink]
26 Dec 2019, 21:28
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