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

 It is currently 16 Nov 2018, 10:13

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# Mastering Important Concept on Triangles – III - Question #1

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

### Hide Tags

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2203
Mastering Important Concept on Triangles – III - Question #1  [#permalink]

### Show Tags

Updated on: 15 Dec 2016, 22:50
1
7
00:00

Difficulty:

65% (hard)

Question Stats:

69% (02:39) correct 31% (02:48) wrong based on 246 sessions

### HideShow timer Statistics

Mastering Important Concept on Triangles – III - Question #1

In the given figure, BD is the median of triangle ABC and the lines BD and CE intersect at point F. If the area of triangle BFC is $$6cm^2$$ and area of the quadrilateral FEAD is $$18cm^2$$. Find the area of triangle FDC, if the ratio of the area of triangle FDC and triangle FEB is $$3:2$$.

a. $$12 cm^2$$
b. $$18 cm^2$$
c. $$24 cm^2$$
d. $$36 cm^2$$
e. $$42 cm^2$$

Key concepts on Triangles are explained in detail in the following posts:

1. Mastering Important Concepts Tested By GMAT in Triangle - I

2. Mastering Important Concepts Tested By GMAT in Triangle - II

3.Mastering Important Concepts Tested By GMAT in Triangle - III

Detailed solution will be posted soon.

Thanks,
Saquib
Quant Expert
e-GMAT

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Originally posted by EgmatQuantExpert on 11 Dec 2016, 07:29.
Last edited by EgmatQuantExpert on 15 Dec 2016, 22:50, edited 1 time in total.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2203
Re: Mastering Important Concept on Triangles – III - Question #1  [#permalink]

### Show Tags

Updated on: 15 Dec 2016, 22:49
4
Hey,

PFB the official solution

It is given that BD is the median of the triangle ABC.

From the given information we can conclude that:
Area of Triangle ABD = Area of Triangle BDC
Which is equal to,
Area of Triangle FEB + Area of Quadrilateral FEAD = Area of Triangle BFC + Area of Triangle FDC…. (i)

We are also given the following information –
• Area of BFC = $$6 cm^2$$
• Area of Quadrilateral FEAD = $$18cm^2$$
• And area of FDC: Area of FEB = 3: 2
o Let us consider the area of FDC and FEB to be $$3x$$ and $$2x$$ respectively.

Let us substitute the above values in equation (i)
Area of Triangle FEB + Area of Quadrilateral FEAD = Area of Triangle BFC + Area of Triangle FDC
o $$2x + 18 = 6 + 3x$$
o $$x = 12 cm^2$$
• Thus the Area of Triangle FDC = $$3x = 36 cm^2$$

Hence the correct answer option is D

Thanks,
Saquib
Quant Expert
e-GMAT
_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Originally posted by EgmatQuantExpert on 11 Dec 2016, 07:31.
Last edited by EgmatQuantExpert on 15 Dec 2016, 22:49, edited 1 time in total.
Manager
Joined: 07 Mar 2015
Posts: 110
Location: India
Concentration: General Management, Operations
GMAT 1: 590 Q46 V25
GPA: 3.84
WE: Engineering (Energy and Utilities)
Re: Mastering Important Concept on Triangles – III - Question #1  [#permalink]

### Show Tags

14 Dec 2016, 21:14
1
Since BD is median , The area of triangle BDA= Area of triangle BDC

The area of triangle BDA= Area of triangle BDC

Area of BFE+ Area EFAD = Area BFC+ Area CFD

2x + 18 = 3x+ 6

X= 12.

we need 3x = 36 cm^2
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2203
Mastering Important Concept on Triangles – III - Question #1  [#permalink]

### Show Tags

15 Dec 2016, 22:54
Hey Everyone,

The official solution has been posted. Please go through the solution once. In case of any doubts please feel to ask

Thanks,
Saquib
Quant Expert
e-GMAT
_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Intern
Joined: 07 Dec 2016
Posts: 41
Concentration: Strategy, International Business
Mastering Important Concept on Triangles – III - Question #1  [#permalink]

### Show Tags

31 Aug 2017, 13:31
As BD is the median , it divides triangle ABC into two triangles of equal area.

Area of triangle ABD = Area of triangle BDC
Area of triangle BFE + Area of quadilateral EAFD = Area of triangle BFC + Area of triangle FDC ........(1)

Also, Area of FDC/Area of FEB = 3/2
which gives us , Area of FEB = 2*Area of FDC / 3

Substituting above relation in our equation (1)

2*Area of FDC / 3 +Area of EFAD = Area of BFC + Area of FDC
Area of FDC/3 = Area of EFAD - Area of BFC
Area of FDC = 3( 18-6)
Area of FDC = 36 cm^2

Option D
Non-Human User
Joined: 09 Sep 2013
Posts: 8786
Re: Mastering Important Concept on Triangles – III - Question #1  [#permalink]

### Show Tags

15 Sep 2018, 10:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Mastering Important Concept on Triangles – III - Question #1 &nbs [#permalink] 15 Sep 2018, 10:34
Display posts from previous: Sort by

# Mastering Important Concept on Triangles – III - Question #1

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.