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

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Math Expert
Joined: 02 Sep 2009
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What is the length of each side of the regular hexagons as shown in  [#permalink]

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23 Jul 2017, 23:32
00:00

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?

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

(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

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

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Updated on: 23 Aug 2017, 20:52
1

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

Attachments

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

Posted from my mobile device

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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