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What is the length of each side of the regular hexagons as shown in

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What is the length of each side of the regular hexagons as shown in  [#permalink]

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New post 23 Jul 2017, 23:32
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A
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D
E

Difficulty:

  65% (hard)

Question Stats:

60% (01:24) correct 40% (01:30) wrong based on 65 sessions

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What is the length of each side of the regular hexagons as shown in the diagram below?
Image

(1) The shortest distance between A and B is 6.

(2) The shortest straight-line distance between A and B such that the straight-line does not enter inside either hexagon is 4 + 2√3.


Attachment:
2017-07-24_1030.png
2017-07-24_1030.png [ 6.25 KiB | Viewed 943 times ]


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Re: What is the length of each side of the regular hexagons as shown in  [#permalink]

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New post 22 Aug 2017, 07:15
Bunuel wrote:
What is the length of each side of the regular hexagons as shown in the diagram below?
Image

(1) The shortest distance between A and B is 6.

(2) The shortest straight-line distance between A and B such that the straight-line does not enter inside either hexagon is 4 + 2√3.


Attachment:
2017-07-24_1030.png


DS: Length of each side of regular Hexagon
Concept : If we know the length of side of regular hexagon , we can calculate its diagonals.

Statement 1: Shortest distance between A and B = Side of hexagon + diagonal of hexagon(which is again related to side)
So, we can easily calculate the length of the side of the hexagon.
SUFFICIENT

Statement 2: We can even calculate the distance between A and B such that the straight-line does not enter inside either hexagon with the length of side.
SUFFICIENT

Answer D
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What is the length of each side of the regular hexagons as shown in  [#permalink]

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New post Updated on: 23 Aug 2017, 20:52
1
Please refer attachment for diagram.

Side of Hexagon = 2S

St.1) 2S + 2S + 2S = 6
S = 1

Sufficient

St.2) S\(\sqrt{3}\) + S\(\sqrt{3}\) + 2S + 2S = 4 + 2\(\sqrt{3}\)
4S + 2S\(\sqrt{3}\) = 4 + 2\(\sqrt{3}\)
S = 1

Sufficient

Answer: Option D
Attachments

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GMAT - Geometry Answer Picture.jpg [ 1.59 MiB | Viewed 448 times ]


Originally posted by GoodnessShallPrevail on 23 Aug 2017, 09:45.
Last edited by GoodnessShallPrevail on 23 Aug 2017, 20:52, edited 1 time in total.
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Re: What is the length of each side of the regular hexagons as shown in  [#permalink]

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New post 24 Aug 2017, 01:14
How is going through the sides of Hexagon considered as straight line?

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Re: What is the length of each side of the regular hexagons as shown in  [#permalink]

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New post 24 Aug 2017, 02:34
antztheman wrote:
How is going through the sides of Hexagon considered as straight line?

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Yes you are correct, there is some flaw in the wording of the question..

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Re: What is the length of each side of the regular hexagons as shown in &nbs [#permalink] 24 Aug 2017, 02:34
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