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

It is currently 23 Oct 2018, 16:00

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, the area of square ABCF is 25 and triangle CGD is

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50058
In the figure above, the area of square ABCF is 25 and triangle CGD is  [#permalink]

Show Tags

New post 16 Mar 2018, 00:04
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

94% (01:28) correct 6% (01:51) wrong based on 57 sessions

HideShow timer Statistics

Image

In the figure above, the area of square ABCF is 25 and triangle CGD is an isosceles right triangle. What is the area of rectangle DEFG?

A. 15
B. 12
C. 9
D. \(6\sqrt{2}\)
E. 6

Attachment:
2018-03-16_1012.png
2018-03-16_1012.png [ 8.33 KiB | Viewed 771 times ]

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50058
Re: In the figure above, the area of square ABCF is 25 and triangle CGD is  [#permalink]

Show Tags

New post 16 Mar 2018, 00:05
Bunuel wrote:
Image

In the figure above, the area of square ABCF is 25 and triangle CGD is an isosceles right triangle. What is the area of rectangle DEFG?

A. 15
B. 12
C. 9
D. \(6\sqrt{2}\)
E. 6

Attachment:
2018-03-16_1012.png


23. Geometry




24. Coordinate Geometry




25. Triangles




26. Polygons




27. Circles




28. Rectangular Solids and Cylinders




29. Graphs and Illustrations




For other subjects:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3207
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: In the figure above, the area of square ABCF is 25 and triangle CGD is  [#permalink]

Show Tags

New post 16 Mar 2018, 00:37
1
Image

Since the area of the square ABCF is 25, the side of the square is 5.

Since the triangle GCD is an isosceles right triangle, the sides are in the ratio \(1:1:\sqrt{2}\)
We are given that the hypotenuse of the triangle is \(3\sqrt{2}\), the other sides are equal to 3.

In rectangle GFDE, GF = 5 - 3 = 2. Also, GD = 3.

Therefore, the area of the rectangle GFDE is 6(Option E)
_________________

You've got what it takes, but it will take everything you've got

BSchool Forum Moderator
User avatar
D
Joined: 28 Mar 2017
Posts: 1172
Location: India
GMAT 1: 730 Q49 V41
GPA: 4
Re: In the figure above, the area of square ABCF is 25 and triangle CGD is  [#permalink]

Show Tags

New post 16 Mar 2018, 03:49
1
Bunuel wrote:
Image

In the figure above, the area of square ABCF is 25 and triangle CGD is an isosceles right triangle. What is the area of rectangle DEFG?

A. 15
B. 12
C. 9
D. \(6\sqrt{2}\)
E. 6

Attachment:
2018-03-16_1012.png


10 second question.

Straight "E".

Isosceles right triangle has sides in the ratio 1(short):1(shhort):root2(hypo)
In the figure hypot=3*root2
So short side = 3
Now for rectabgle:
l=3 b=2
Area=6
_________________

Kudos if my post helps!

Long And A Fruitful Journey - V21 to V41; If I can, So Can You!!


Preparing for RC my way


My study resources:
1. Useful Formulae, Concepts and Tricks-Quant
2. e-GMAT's ALL SC Compilation
3. LSAT RC compilation
4. Actual LSAT CR collection by Broal
5. QOTD RC (Carcass)
6. Challange OG RC
7. GMAT Prep Challenge RC

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3906
Location: United States (CA)
Re: In the figure above, the area of square ABCF is 25 and triangle CGD is  [#permalink]

Show Tags

New post 19 Mar 2018, 16:13
Bunuel wrote:
Image

In the figure above, the area of square ABCF is 25 and triangle CGD is an isosceles right triangle. What is the area of rectangle DEFG?

A. 15
B. 12
C. 9
D. \(6\sqrt{2}\)
E. 6

Attachment:
2018-03-16_1012.png


Since triangle CGD is an isosceles right triangle (i.e., 45-45-90), both sides CG and GD = 3√2/√2 = 3. Since the area of square ABCF is 25, side CF = √25 = 5. Thus side GF is 5 - 3 = 2.

Finally, the area of rectangle DEFG is GF x GD = 2 x 3 = 6.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 2069
Re: In the figure above, the area of square ABCF is 25 and triangle CGD is  [#permalink]

Show Tags

New post 25 Mar 2018, 12:02

Solution



Image

    •Area of square \(ABCF= 25\)

Let us assume the length of the sides of the square is ‘\(a\)’, then:

    •\(a^2=25\)
    •\(a=5\) (Distance cannot be negative so \(a\) cannot be \(-5\))

    •Triangle \(GCD\) is an isosceles right-angled triangle.
    •GCD is \(45- 45- 90\) triangle.
      •\(GC:GD: DC\)= \(1:1:\sqrt{2}\)
    GC= GD= \(3\)


    •Since \(GD=FE\), hence \(FE=3\).
    •Since \(CF= AB=CG + GF\) = \(5\), hence GF=\(2\).

    Area of rectangle \(DEFG= FE*GF\)
    = \(3*2=6\)

Answer: E
_________________








Register for free sessions
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

Must Read Articles
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

GMAT Club Bot
Re: In the figure above, the area of square ABCF is 25 and triangle CGD is &nbs [#permalink] 25 Mar 2018, 12:02
Display posts from previous: Sort by

In the figure above, the area of square ABCF is 25 and triangle CGD is

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.