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

 It is currently 09 Dec 2018, 18:39

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

December 09, 2018

December 09, 2018

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Free lesson on number properties

December 10, 2018

December 10, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

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

Author Message
TAGS:

### Hide Tags

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
A trapezoid ABCD has sides BC and AD parallel to each other, while AB  [#permalink]

### Show Tags

17 Jul 2018, 22:43
1
00:00

Difficulty:

85% (hard)

Question Stats:

29% (02:28) correct 71% (02:35) wrong based on 21 sessions

### HideShow 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.
examPAL Representative
Joined: 07 Dec 2017
Posts: 841
Re: A trapezoid ABCD has sides BC and AD parallel to each other, while AB  [#permalink]

### Show Tags

17 Jul 2018, 23:18
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.

_________________
Re: A trapezoid ABCD has sides BC and AD parallel to each other, while AB &nbs [#permalink] 17 Jul 2018, 23:18
Display posts from previous: Sort by