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

Question

https://gmatclub.com/forum/download/file.php?id=40116 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. Triangle_Problem.png

DavidTutorexamPAL · Answer

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.

Hatakekakashi · Answer

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

rishabhmishra · Answer

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

Target4bschool · Answer

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

CEdward · Answer

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.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards