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

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

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New post 21 Feb 2018, 21:49
2
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

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

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

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New post 21 Feb 2018, 23:37
1
Bunuel wrote:
Image
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.

(A) is our answer.
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Re: If triangles ABC and CDE are each equilateral, what is the sum of the  [#permalink]

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New post 21 Feb 2018, 23:44
Bunuel wrote:
Image
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

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

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New post 22 Feb 2018, 23:56
1
Bunuel wrote:
Image
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
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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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