GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A perfect hexagon has a side length of 8. The longest intern
[#permalink]
20 Dec 2019, 10:32
20 Dec 2019, 10:32
Expert Reply
00:00
Question Stats:
91% (01:15) correct
8% (01:18) wrong based on 12 sessions
Hide Show timer Statistics
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
[#permalink]
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
Moderators:
