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.
given figure is that of a regular hexagon. what is the area?
[#permalink]
30 Jan 2018, 00:05
30 Jan 2018, 00:05
1
3
Bookmarks
00:00
Question Stats:
89% (01:07) correct
10% (00:47) wrong based on 46 sessions
Hide Show timer Statistics
given figure is that of a regular hexagon. what is the area of the hexagon? Give your answer without the units
Show: ::
\(96*\sqrt{3}\)
Attachments
8cm.png [ 7.43 KiB | Viewed 5558 times ]
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: given figure is that of a regular hexagon. what is the area?
[#permalink]
30 Jan 2018, 07:10
30 Jan 2018, 07:10
2
amorphous wrote:
given figure is that of a regular hexagon. what is the area of the hexagon? Give your answer without the units
Show: ::
\(96*\sqrt{3}\)
Notice that we can divide a regular hexagon into 6 identical equilateral triangles
So, area of hexagon = 6(area of 1 equilateral triangle)
Useful formula: Area of equilateral triangle = (side²)(√3)/4
Since each side has length 8, we can write: Area of one equilateral triangle = (8²)(√3)/4
= (64)(√3)/4
= 16√3
So, area of hexagon = 6(area of 1 equilateral triangle)
= area of hexagon = 6(16√3)
= 96√3
Answer: 96√3
Cheers,
Brent
Re: given figure is that of a regular hexagon. what is the area?
[#permalink]
30 Jan 2018, 07:43
30 Jan 2018, 07:43
1
amorphous wrote:
given figure is that of a regular hexagon. what is the area of the hexagon? Give your answer without the units
Here we know
Area of Hexagon = \([3\sqrt{3} * (side)^2]\)\(/2\)
since side = 8
Therefore putting the value in the equation we get= \([3\sqrt{3} * (8)^2]\)\(/2\)
= \(96\sqrt{3}\)
