It is currently 14 Dec 2017, 07:25

Decision(s) Day!:

CHAT Rooms | Wharton R1 | Stanford R1 | Tuck R1 | Ross R1 | Haas R1


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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the perimeter of a square with area 9p^2/16 ?

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42605

Kudos [?]: 135629 [0], given: 12705

What is the perimeter of a square with area 9p^2/16 ? [#permalink]

Show Tags

New post 22 Aug 2016, 01:56
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:26) correct 15% (00:38) wrong based on 59 sessions

HideShow timer Statistics

Kudos [?]: 135629 [0], given: 12705

Intern
Intern
avatar
Joined: 09 Jul 2016
Posts: 25

Kudos [?]: 6 [0], given: 13

Re: What is the perimeter of a square with area 9p^2/16 ? [#permalink]

Show Tags

New post 22 Aug 2016, 03:01
What is the perimeter of a square with area 9p^2/16 ?

Area of square, (side)^2 = (3p/4)^2

Therefore side of the square = 3p/4
Perimeter of square = 4*side = 4* (3p/4) = 3p

Answer is C.

Kudos [?]: 6 [0], given: 13

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10391

Kudos [?]: 3690 [1], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: What is the perimeter of a square with area 9p^2/16 ? [#permalink]

Show Tags

New post 29 Nov 2017, 21:14
1
This post received
KUDOS
Expert's post
Hi All,

We're told that the area of a SQUARE is (9P^2)/16. We're asked for the PERIMETER of the square. This question can be solved by TESTing VALUES.

Since the denominator is 16, we can 'cancel' it out if we make P=4...

IF... P=4, then the area of the square is 9(16)/16 = 9. This means that each side of the square = 3. Thus, we're looking for an answer that equals 4(3) = 12 when we plug P=4 into the answer choices. There's only one answer that matches...

Final Answer:
[Reveal] Spoiler:
C


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3690 [1], given: 173

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1126

Kudos [?]: 402 [0], given: 645

What is the perimeter of a square with area 9p^2/16 ? [#permalink]

Show Tags

New post 30 Nov 2017, 05:36
Bunuel wrote:
What is the perimeter of a square with area 9p^2/16 ?

A. 3p/4
B. 3p^2/4
C. 3p
D. 3p^2
E. 4p/3

Find \(s\).

Area of square = \(s^2 = \frac{9\pi^2}{16}\)

\(\sqrt{s^2} = \frac{(\sqrt{9})*(\sqrt{\pi^2})}{\sqrt{16}}\)

\(s= \frac{3\pi}{4}\)

Perimeter = \(4s=(\frac{3\pi}{4})*4 = 3\pi\)

Answer C

Kudos [?]: 402 [0], given: 645

Intern
Intern
avatar
Joined: 13 Oct 2017
Posts: 2

Kudos [?]: 0 [0], given: 0

Re: What is the perimeter of a square with area 9p^2/16 ? [#permalink]

Show Tags

New post 30 Nov 2017, 06:04
Area = 9p^2/16
So a^2 = 9p^2/16 ( assumed side of a square as a)

So a = 3p/4
And perimeter of square is sum of all sides
So perimeter = 4a

So ans is 4(3p/4) = 3p



Sent from my iPhone using GMAT Club Forum

Kudos [?]: 0 [0], given: 0

Expert Post
1 KUDOS received
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 755

Kudos [?]: 2242 [1], given: 123

Re: What is the perimeter of a square with area 9p^2/16 ? [#permalink]

Show Tags

New post 30 Nov 2017, 11:15
1
This post received
KUDOS
Expert's post
Bunuel wrote:
What is the perimeter of a square with area 9p^2/16 ?

A. 3p/4
B. 3p^2/4
C. 3p
D. 3p^2
E. 4p/3


We know that the area of square = (side)^2

Thus, we can write :
\((Side)^2 = \frac{9p^2}{16}\)

\((Side)^2 = (\frac{3p}{4})^2\)

Since the side of square is always positive, we can conclude that the length of each side \(= \frac{3p}{4}\)

And the perimeter of the square \(= 4 * side = 4 * \frac{3p}{4} = 3p\)

The correct answer is Option C.
_________________












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

Kudos [?]: 2242 [1], given: 123

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1940

Kudos [?]: 1018 [1], given: 3

Location: United States (CA)
Re: What is the perimeter of a square with area 9p^2/16 ? [#permalink]

Show Tags

New post 03 Dec 2017, 17:47
1
This post received
KUDOS
Expert's post
Bunuel wrote:
What is the perimeter of a square with area 9p^2/16 ?

A. 3p/4
B. 3p^2/4
C. 3p
D. 3p^2
E. 4p/3


Since a side of the square is equal to √(9p^2/16) = 3p/4, then the perimeter of the square is 4 x 3p/4 = 12p/4 = 3p.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Kudos [?]: 1018 [1], given: 3

Re: What is the perimeter of a square with area 9p^2/16 ?   [#permalink] 03 Dec 2017, 17:47
Display posts from previous: Sort by

What is the perimeter of a square with area 9p^2/16 ?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.