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Moderator  Joined: 18 Apr 2015
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If the length of one side of a regular hexagon (all [#permalink]
Expert's post 00:00

Question Stats: 81% (01:15) correct 18% (00:25) wrong based on 27 sessions

If the length of one side of a regular hexagon (all sides and angles equal) is 8, what is the area of the hexagon ?

A. 48

B. $$36 \sqrt{3}$$

C. $$48 \sqrt{2}$$

D.$$96 \sqrt{3}$$

E. $$128 \sqrt{2}$$
[Reveal] Spoiler: OA

_________________ Director Joined: 03 Sep 2017
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Re: If the length of one side of a regular hexagon (all [#permalink]
1
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Is it right to see the hexagon as made of six equilateral triangles each of area $$\frac{8*4sqrt(3)}{2} = 16sqrt(3)$$ so that the area of the hexagon is six times the area of a triangle, i.e. $$6*16sqrt(3)=96sqrt(3)$$? Intern Joined: 14 Jun 2018
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Re: If the length of one side of a regular hexagon (all [#permalink]
1
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IlCreatore wrote:
Is it right to see the hexagon as made of six equilateral triangles each of area $$\frac{8*4sqrt(3)}{2} = 16sqrt(3)$$ so that the area of the hexagon is six times the area of a triangle, i.e. $$6*16sqrt(3)=96sqrt(3)$$?

Could you please explain why you assumed that fact about hexagon while it's not given? Moderator  Joined: 18 Apr 2015
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Re: If the length of one side of a regular hexagon (all [#permalink]
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Expert's post
The fact that is not mentioned in the stem or elsewhere, then nothing avoid you to make this assumption about the hexagon and triangles.

It is just another way to solve the problem. The lesson you might learn from this is that flexibility in quant solving problem is king.

Attachment: shot37.jpg [ 21.66 KiB | Viewed 677 times ]

_________________
Intern Joined: 14 Jun 2018
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Re: If the length of one side of a regular hexagon (all [#permalink]
Carcass wrote:
The fact that is not mentioned in the stem or elsewhere, then nothing avoid you to make this assumption about the hexagon and triangles.

It is just another way to solve the problem. The lesson you might learn from this is that flexibility in quant solving problem is king.

Attachment:
shot37.jpg

Thanks Carcass. So can we make the same assumption a bout all regular polygons n (number of sides)>3? Moderator  Joined: 18 Apr 2015
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Kudos [?]: 1159  , given: 5501

Re: If the length of one side of a regular hexagon (all [#permalink]
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Expert's post
yes. octagon and so on.......
_________________ Re: If the length of one side of a regular hexagon (all   [#permalink] 18 Jul 2018, 01:21
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