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# What is the perimeter of equilateral triangle DEF?

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Math Expert
Joined: 02 Sep 2009
Posts: 44623
What is the perimeter of equilateral triangle DEF? [#permalink]

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31 Dec 2017, 12:25
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Difficulty:

15% (low)

Question Stats:

87% (00:25) correct 13% (00:33) wrong based on 52 sessions

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What is the perimeter of equilateral triangle DEF?

(1) The area of triangle DEF is $$9\sqrt{3}$$
(2) DE = 6
[Reveal] Spoiler: OA

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Joined: 22 Oct 2017
Posts: 13
Location: India
WE: Analyst (Consumer Products)
Re: What is the perimeter of equilateral triangle DEF? [#permalink]

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31 Dec 2017, 13:21
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KUDOS
Bunuel wrote:
What is the perimeter of equilateral triangle DEF?

(1) The area of triangle DEF is $$9\sqrt{3}$$
(2) DE = 6

(A) - Area of Equilateral Triangle is √3/4 * (side)^2. Using this we can calculate side of triangle as 6. All sides of equilateral triangle are equal so parameter is 3*6 = 18. Hence Sufficient

(B) - Side of triangle is given. Sufficient - Same as A.

Hence both the options are sufficient. Correct Answer is D.

Thanks
Piyush

Re: What is the perimeter of equilateral triangle DEF?   [#permalink] 31 Dec 2017, 13:21
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