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

It is currently 21 Oct 2018, 16:59

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

If the area of the shaded region of the square above is 20, what is th

  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: 50009
If the area of the shaded region of the square above is 20, what is th  [#permalink]

Show Tags

New post 05 Jul 2018, 21:41
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

85% (01:45) correct 15% (01:11) wrong based on 35 sessions

HideShow timer Statistics

Image
If the area of the shaded region of the square above is 20, what is the perimeter of the square?


(A) 4 \(\sqrt{5}\)

(B) 8 \(\sqrt{5}\)

(C) 16 \(\sqrt{5}\)

(D) 80

(E) 400


Attachment:
2018-07-06_0839.png
2018-07-06_0839.png [ 6.51 KiB | Viewed 448 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

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 892
WE: Supply Chain Management (Energy and Utilities)
Premium Member
Re: If the area of the shaded region of the square above is 20, what is th  [#permalink]

Show Tags

New post 05 Jul 2018, 22:03
Bunuel wrote:
Image
If the area of the shaded region of the square above is 20, what is the perimeter of the square?


(A) 4 \(\sqrt{5}\)

(B) 8 \(\sqrt{5}\)

(C) 16 \(\sqrt{5}\)

(D) 80

(E) 400


Attachment:
2018-07-06_0839.png


Area of square=4* area of shaded region=4*20=80
The length of the sides of the square=\(\sqrt{80}\)=\(4\sqrt{5}\)
So, perimeter of the square=4*length of the sides of the square=4*\(4\sqrt{5}\)=\(16\sqrt{5}\)

Ans.(C)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2038
Premium Member CAT Tests
If the area of the shaded region of the square above is 20, what is th  [#permalink]

Show Tags

New post 06 Jul 2018, 09:24
Bunuel wrote:
Image
If the area of the shaded region of the square above is 20, what is the perimeter of the square?


(A) 4 \(\sqrt{5}\)

(B) 8 \(\sqrt{5}\)

(C) 16 \(\sqrt{5}\)

(D) 80

(E) 400


Attachment:
2018-07-06_0839.png

The diagonals of a square divide it into 4 triangles of equal area.

Area of the square = \(s^2\)
\(\frac{1}{4}s^2=20\)
\(s^2=80\)
\(\sqrt{s^2}=\sqrt{16*5}\)
\(s=4\sqrt{5}\)

Perimeter = \(4s=(4*4\sqrt{5})=16\sqrt{5}\)

Answer C
_________________

___________________________________________________________________
For what are we born if not to aid one another?
-- Ernest Hemingway

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4095
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If the area of the shaded region of the square above is 20, what is th  [#permalink]

Show Tags

New post 06 Jul 2018, 11:25
Bunuel wrote:
Image
If the area of the shaded region of the square above is 20, what is the perimeter of the square?


(A) 4 \(\sqrt{5}\)

(B) 8 \(\sqrt{5}\)

(C) 16 \(\sqrt{5}\)

(D) 80

(E) 400


Attachment:
2018-07-06_0839.png


\(\frac{1}{4}^{th}\) of the square is \(20\), so the area of the square is \(80\), Thus each side must be \(\sqrt{80}\)

\(80 = 2^4*5\)

Since, \(a = \sqrt{80}\)

Or, \(a = 4\sqrt{5}\)

Thus, the perimeter of the square must be \(16\sqrt{5}\), Answer must be (C)
_________________

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 )

GMAT Club Bot
Re: If the area of the shaded region of the square above is 20, what is th &nbs [#permalink] 06 Jul 2018, 11:25
Display posts from previous: Sort by

If the area of the shaded region of the square above is 20, what is th

  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®.