NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 21:41 It is currently 25 Apr 2024, 21:41
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A trapezoid ABCD has sides BC and AD parallel to each other, while AB

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
amanvermagmat
Retired Moderator
Joined: 22 Aug 2013
Posts: 1186
Own Kudos [?]: 2499 [4]
Given Kudos: 459
Location: India
Send PM
A trapezoid ABCD has sides BC and AD parallel to each other, while AB [#permalink] New post   17 Jul 2018, 23:43
4
Bookmarks
00:00
A
B
C
D
E

Difficulty:

75% (hard)

Question Stats:

54% (02:43) correct 46% (02:25) wrong based on 76 sessions
Hide Show timer Statistics
A trapezoid ABCD has sides BC and AD parallel to each other, while AB and CD are not parallel. A point E lies on side AD such that CE is perpendicular to AD. Area of triangle CED is what fraction of area of trapezoid ABCD?

(1) ABCD is an isosceles trapezoid with AB = 6 units.

(2) Angle DCE = 60 degrees.
ShowHide Answer
Official Answer
E
User avatar
P
DavidTutorexamPAL
examPAL Representative
Joined: 07 Dec 2017
Posts: 1050
Own Kudos [?]: 1777 [0]
Given Kudos: 26
Send PM
Re: A trapezoid ABCD has sides BC and AD parallel to each other, while AB [#permalink] New post   18 Jul 2018, 00:18
amanvermagmat wrote:
A trapezoid ABCD has sides BC and AD parallel to each other, while AB and CD are not parallel. A point E lies on side AD such that CE is perpendicular to AD. Area of triangle CED is what fraction of area of trapezoid ABCD?

(1) ABCD is an isosceles trapezoid with AB = 6 units.

(2) Angle DCE = 60 degrees.


Since the trapezoid and the triangle share the same height, CE, to know the ratio of their areas we need to know the ratio of their bases.
That is, we need to know ED : (BC + CD)
We'll look for statements that give us this information, a Logical approach.

(1) This doesn't help us calculate the lengths of the bases.
Insufficient.

(2) This give us one of the angles in the triangle. But what is the ratio between the lengths of the bases?
Insufficient.

Combined:
We now know that CED is a 30-60-90 triangle and know the length of one of its sides so we can calculate the other two.
But - we still have no information on the length of the base BC and cannot calculate what we need.
Insufficient.

(E) is our answer.
User avatar
G
CEdward
VP
VP
Joined: 11 Aug 2020
Posts: 1262
Own Kudos [?]: 201 [0]
Given Kudos: 332
Send PM
Re: A trapezoid ABCD has sides BC and AD parallel to each other, while AB [#permalink] New post   25 Mar 2021, 11:46
What would this trapezoid even look like? I had trouble getting this: A point E lies on side AD such that CE is perpendicular to AD...Presumably C is the bottom right vertex...how can you get a perpendicular line that connects to AD given that?
User avatar
G
TestPrepUnlimited
Tutor
Joined: 17 Sep 2014
Posts: 1251
Own Kudos [?]: 938 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Send PM
Re: A trapezoid ABCD has sides BC and AD parallel to each other, while AB [#permalink] New post   28 Mar 2021, 09:33
Expert Reply
amanvermagmat wrote:
A trapezoid ABCD has sides BC and AD parallel to each other, while AB and CD are not parallel. A point E lies on side AD such that CE is perpendicular to AD. Area of triangle CED is what fraction of area of trapezoid ABCD?

(1) ABCD is an isosceles trapezoid with AB = 6 units.

(2) Angle DCE = 60 degrees.


CEdward we may have AD as the base with AD > BC. Even if AD < BC, we can still draw the height with E on the extension of AD.

Looking at the graph, we can see there are many lengths we need such as AB, the height, the base, and angle A (probably need only three of these).

Statement 1:

We have AB = BC = 6 or AB = CD = 6. Insufficient.

Statement 2:

Insufficient.

Combined:

Since we have an isosceles trapezoid, the shape is confirmed and we know AB = CD = 6 with the height using the angle from (2). However we are still missing the length of BC, this trapezoid can be stretched as long as it can. Therefore insufficient.

Ans: E
Attachments

trapezoid.png
trapezoid.png [ 7.33 KiB | Viewed 3587 times ]

User avatar
L
Kushchokhani
Director
Director
Joined: 05 Jan 2020
Status:Admitted to IIM Shillong (PGPEx 2023-24)
Affiliations: CFA Institute; ICAI; BCAS
Posts: 588
Own Kudos [?]: 554 [0]
Given Kudos: 694
Location: India
WE 2: EA to CFO (Consumer Products)
GPA: 3.78
WE:Corporate Finance (Commercial Banking)
Send PM
Reviews Badge CAT Tests Forum Quiz Mode
Re: A trapezoid ABCD has sides BC and AD parallel to each other, while AB [#permalink] New post   10 Jun 2022, 08:03
DavidTutorexamPAL wrote:
Since the trapezoid and the triangle share the same height, CE, to know the ratio of their areas we need to know the ratio of their bases.
That is, we need to know ED : (BC + CD)

DavidTutorexamPAL

I think there is a typo- the ratio we require is ED : (BC + AD)
GMAT Club Bot
gmatclubot
Re: A trapezoid ABCD has sides BC and AD parallel to each other, while AB [#permalink]
10 Jun 2022, 08:03
Moderator:
Bunuel
Math Expert
92915 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions