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

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Bunuel
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If triangles ABC and CDE are each equilateral, what is the sum of the [#permalink] New post   21 Feb 2018, 21:49
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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.

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

Show Spoiler
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] New post   21 Feb 2018, 23:44
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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.

Show Spoiler
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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rishabhmishra
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Re: If triangles ABC and CDE are each equilateral, what is the sum of the [#permalink] New post   22 Feb 2018, 23:56
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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.

Show Spoiler
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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If triangles ABC and CDE are each equilateral, what is the sum of the [#permalink] New post   03 Oct 2020, 09:45
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St 1: AE = 25

Total perimeter = 3*AC + 3*CE = 3(AC+CE) = 3(AE) = 3*25
Sufficient

St 2: \(BC = \frac{2}{3} DE\)

Total perimeter = 3*BC + 3*DE = 3* [(\(\frac{2}{3}\))*DE] + 3*DE
= 2DE + 3DE = 5*DE

Not unique value, so insufficient.

So, answer is A.
Please give kudos if it helped :)
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Re: If triangles ABC and CDE are each equilateral, what is the sum of the [#permalink] New post   17 Feb 2021, 10:01
C-trap problem.

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.
At first glance, this might seem insufficient b/c we dont' actually know the lengths of AC or CE, but that's actually irrelevant because no matter how we slice it, the sum of the perimeters of both triangles will be the same

AC = 10, CE = 15 ---> Ptotal = 75
AC = 5, CE = 20 ---> Ptotal = 75
AC = 12.5, CE = 12.5 ---> Ptotal = 75

Sufficient.

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

A is the answer.
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Re: If triangles ABC and CDE are each equilateral, what is the sum of the [#permalink]
17 Feb 2021, 10:01
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