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# If triangles ABC and CDE are each equilateral, what is the sum of the

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Math Expert
Joined: 02 Sep 2009
Posts: 56268
If triangles ABC and CDE are each equilateral, what is the sum of the  [#permalink]

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21 Feb 2018, 21:49
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Difficulty:

55% (hard)

Question Stats:

52% (01:08) correct 48% (01:09) wrong based on 68 sessions

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If triangles ABC and CDE are each equilateral, what is the sum of the perimeters of the two triangles?

(1) Line segment AE measures 25 meters.

(2) Side BC is 2/3 as long as side DE.

Attachment:

Triangle_Problem.png [ 6.29 KiB | Viewed 798 times ]

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Joined: 07 Dec 2017
Posts: 1074
Re: If triangles ABC and CDE are each equilateral, what is the sum of the  [#permalink]

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21 Feb 2018, 23:37
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Bunuel wrote:

If triangles ABC and CDE are each equilateral, what is the sum of the perimeters of the two triangles?

(1) Line segment AE measures 25 meters.

(2) Side BC is 2/3 as long as side DE.

Attachment:
Triangle_Problem.png

Since the triangles are equilateral, one perimeter is equal to three times the side.
So the sum of the perimeters equals 3 times the sum of a side from ABC and a side from CDE.
We'll look for statements that give us this information, a Logical approach.

(1) Gives us this information.
Sufficient.

(2) Gives only the ratio and not an absolute number.
Insufficient.

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Re: If triangles ABC and CDE are each equilateral, what is the sum of the  [#permalink]

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21 Feb 2018, 23:44
Bunuel wrote:

If triangles ABC and CDE are each equilateral, what is the sum of the perimeters of the two triangles?

(1) Line segment AE measures 25 meters.

(2) Side BC is 2/3 as long as side DE.

Attachment:
Triangle_Problem.png

Through A we know the side of one equilateral triangle plus the other

and the perimter of both traingles is equal to thrice this value

(A) imo

b is insufficient

Regards,
HK
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Joined: 23 Sep 2016
Posts: 236
Re: If triangles ABC and CDE are each equilateral, what is the sum of the  [#permalink]

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22 Feb 2018, 23:56
1
Bunuel wrote:

If triangles ABC and CDE are each equilateral, what is the sum of the perimeters of the two triangles?

(1) Line segment AE measures 25 meters.

(2) Side BC is 2/3 as long as side DE.

Attachment:
Triangle_Problem.png

I will also go with statement A as we assume ac as X and CE as y then perimeter= 3x+3y= 3(x+y)=3 (25)
and b is insufficient as we don't have any value of any side.
IMO A
Re: If triangles ABC and CDE are each equilateral, what is the sum of the   [#permalink] 22 Feb 2018, 23:56
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