GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Sep 2019, 13:36

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In the figure above, if AB is parallel to DE, DC = EC, what is the per

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57996
In the figure above, if AB is parallel to DE, DC = EC, what is the per  [#permalink]

Show Tags

New post 17 Sep 2018, 22:03
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

40% (01:12) correct 60% (01:50) wrong based on 27 sessions

HideShow timer Statistics

IESE School Moderator
avatar
S
Joined: 11 Nov 2017
Posts: 124
Location: Belgium
Concentration: Technology, Operations
GMAT 1: 670 Q47 V34
GMAT 2: 750 Q50 V41
GMAT 3: 750 Q50 V41
GPA: 2.5
WE: Engineering (Aerospace and Defense)
Re: In the figure above, if AB is parallel to DE, DC = EC, what is the per  [#permalink]

Show Tags

New post 18 Sep 2018, 14:47
1
given to us is the triangles are similar:
- DEC is Isosceles (due to DC= EC)
- AB || DE

this means the ratios of the sides of the 2 triangles will be the same for all sides
we already have DE, so we need to figure out either DC or EC

(1) BE is 5/7 of BC
while this lets us calculate the ratio, it doesn't tell us anying about the lengtof either of the 2 unknown legs on which we can apply those ratios to try and calculate EC (which we could have done with either the length of BE or BC)

Not suff.

(2) AC = 13 and AB = 7
this gives us the length of the leg of the larger triangle as well as the length of the base of the larger triangle.
while we don't get the ratios here, we can calculate them
we know that the ratio of AB/DE has to be the same as the ratio of AC/DC
so:
7/2 = 13/DC
we can solve this
--> B is sufficient

(just to solve it quickly)
DC = 26/7
so the total perimeter is
66/7 (26/7 + 26/7 + 14/7)

kudos if this helped
GMAT Club Bot
Re: In the figure above, if AB is parallel to DE, DC = EC, what is the per   [#permalink] 18 Sep 2018, 14:47
Display posts from previous: Sort by

In the figure above, if AB is parallel to DE, DC = EC, what is the per

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne