It is currently 18 Mar 2018, 16:03

### 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 June
Open Detailed Calendar

# In the figure above, ABCD is a square with side of length 2. If E is

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44298
In the figure above, ABCD is a square with side of length 2. If E is [#permalink]

### Show Tags

11 Nov 2017, 06:52
00:00

Difficulty:

(N/A)

Question Stats:

88% (00:36) correct 12% (02:24) wrong based on 17 sessions

### HideShow timer Statistics

In the figure above, ABCD is a square with side of length 2. If E is the midpoint of line segment AB and F is the midpoint of line segment AD, then the area of quadrilateral CFAE is

(A) 1
(B) 3/2
(C) 2
(D) 7/2
(E) 4

[Reveal] Spoiler:
Attachment:

2017-11-11_1744_001.png [ 6.33 KiB | Viewed 379 times ]
[Reveal] Spoiler: OA

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 328
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: In the figure above, ABCD is a square with side of length 2. If E is [#permalink]

### Show Tags

11 Nov 2017, 06:59
option C

from triangle BEC and triangle FDC, FD=BE=1 DC=BC=2.

Hence by deducting these areas from the area of the square we will get the required shaded area.

Area of the two triangles=2*(1/2)*2*1
=2
Area of square= 2*2 = 4

_________________

Help with kudos if u found the post useful. Thanks

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3353
Location: India
GPA: 3.5
Re: In the figure above, ABCD is a square with side of length 2. If E is [#permalink]

### Show Tags

11 Nov 2017, 07:46
Area of the square ABCD is 4

Area of Triangle FDC is $$\frac{1}{2}*1*2$$ = 1

Area of Triangle EBC is $$\frac{1}{2}*1*2$$ = 1

Remaining Area is 4 - 1 - 1 =2

Thus, answer will be (C) 2

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: In the figure above, ABCD is a square with side of length 2. If E is   [#permalink] 11 Nov 2017, 07:46
Display posts from previous: Sort by