Find all School-related info fast with the new School-Specific MBA Forum

It is currently 31 Jan 2015, 03:38

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The area of a square garden is A square feet and the perimet

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
User avatar
Joined: 27 Feb 2010
Posts: 106
Location: Denver
Followers: 1

Kudos [?]: 138 [1] , given: 14

The area of a square garden is A square feet and the perimet [#permalink] New post 28 Apr 2010, 07:39
1
This post received
KUDOS
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (02:33) correct 18% (02:10) wrong based on 132 sessions
The area of a square garden is A square feet and the perimeter is P feet. If A=2P+9, what is the perimeter of the garden, in feet?

A. 28
B. 36
C. 40
D. 56
E. 64
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Jan 2015, 04:33, edited 2 times in total.
Renamed the topic and edited the question.
2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 12 Jan 2010
Posts: 258
Schools: DukeTuck,Kelogg,Darden
Followers: 6

Kudos [?]: 48 [2] , given: 28

Reviews Badge
Re: The area of a square garden is A square feet and the perimet [#permalink] New post 28 Apr 2010, 07:44
2
This post received
KUDOS
1
This post was
BOOKMARKED
zz0vlb wrote:
The area of a square garden is A square feet and the perimeter is P feet. If A=2P+9 what is the perimeter of the garden, in feet?

a.28
b.36
c.40
d.56
e.64

these type problems are similar to finding a tiny gray spot on a black paper.


IMO Answer is b. 36.

Let side be a
P = 4a
A = a^2

Sub in equation A=2P+9

a^2 = 8a +9
a^2-8a +9 = 0
a = 9 or -1

So P = 4*9 = 36.

Hope this helps
_________________

Run towards the things that make you uncomfortable daily. The greatest risk is not taking risks
http://gmatclub.com/forum/from-690-to-730-q50-v38-97356.html

Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25363
Followers: 3918

Kudos [?]: 35163 [2] , given: 4064

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 24 Sep 2012, 10:30
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
zz0vlb wrote:
The area of a square garden is A square feet and the perimeter is p feet. If a=2p+9, what is the perimeter of the garden, in feet?

A. 28
B. 36
C. 40
D. 56
E. 64


Let the side of garden be x feet, then: area=a=x^2 and perimeter=p=4x. Given: a=2p+9 --> x^2=2*4x+9 --> solving for x: x=-1 (not a valid solution as x represents the length and therefore must be positive) or x=9 --> perimeter=p=4x=36.

Answer: B.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 12 Jan 2010
Posts: 258
Schools: DukeTuck,Kelogg,Darden
Followers: 6

Kudos [?]: 48 [1] , given: 28

Reviews Badge
Re: The area of a square garden is A square feet and the perimet [#permalink] New post 28 Apr 2010, 12:48
1
This post received
KUDOS
gxsingh wrote:
Silvers wrote:
Solving it using the options is probably the fastest. Especially once you figure out that the side of the square is Odd.



How did you figure that out that its odd?


Oh Thats Simple, equation says

A = 2P + 9

So means area is Odd so side is the square root of the area and has to be odd.

hope this helps :)
_________________

Run towards the things that make you uncomfortable daily. The greatest risk is not taking risks
http://gmatclub.com/forum/from-690-to-730-q50-v38-97356.html

Retired Moderator
User avatar
Status: The last round
Joined: 18 Jun 2009
Posts: 1317
Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34
Followers: 63

Kudos [?]: 534 [0], given: 157

GMAT ToolKit User
Re: The area of a square garden is A square feet and the perimet [#permalink] New post 28 Apr 2010, 07:47
A=l * l =l^2

P= 4l

Hence, l^2=2*4l+9
Solving l will give two values, l=-1 or l=9 as l cant be negative so l=9

P=4*9=36

So "B".
_________________

[ From 470 to 680-My Story ] [ My Last Month Before Test ]
[ GMAT Prep Analysis Tool ] [ US. Business School Dashboard ] [ Int. Business School Dashboard ]

I Can, I Will

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Senior Manager
avatar
Joined: 12 Jan 2010
Posts: 258
Schools: DukeTuck,Kelogg,Darden
Followers: 6

Kudos [?]: 48 [0], given: 28

Reviews Badge
Re: The area of a square garden is A square feet and the perimet [#permalink] New post 28 Apr 2010, 09:46
Solving it using the options is probably the fastest. Especially once you figure out that the side of the square is Odd.
_________________

Run towards the things that make you uncomfortable daily. The greatest risk is not taking risks
http://gmatclub.com/forum/from-690-to-730-q50-v38-97356.html

Intern
Intern
avatar
Joined: 28 Apr 2010
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 8

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 28 Apr 2010, 12:46
Silvers wrote:
Solving it using the options is probably the fastest. Especially once you figure out that the side of the square is Odd.



How did you figure that out that its odd?
Manager
Manager
avatar
Joined: 25 Jun 2012
Posts: 71
Location: India
WE: General Management (Energy and Utilities)
Followers: 2

Kudos [?]: 46 [0], given: 15

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 24 Sep 2012, 10:24
Silvers wrote:
gxsingh wrote:
Silvers wrote:
Solving it using the options is probably the fastest. Especially once you figure out that the side of the square is Odd.



How did you figure that out that its odd?


Oh Thats Simple, equation says

A = 2P + 9

So means area is Odd so side is the square root of the area and has to be odd.

hope this helps :)


Silvers,
I still dont understand the statement here....can u pls give an example?
Manager
Manager
avatar
Joined: 02 Nov 2009
Posts: 141
Followers: 2

Kudos [?]: 44 [0], given: 97

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 28 Sep 2012, 20:23
This is hovv i solved it

A = a^2 it is a square implies it should be a perfect square

If A = 2P+9, implies a^2 = 2p+9

a^2 = 2(28) + 9 not a perfect square
a^2 = 2(36) + 9 perfect square = 80 so a = 9 so permieter = 36 true B
a^2 = 2(40) + 9 not a perfect square
a^2 = 2(56) + 9 perfect square = 121 so a = 11 if a =11 then permiter =44 condition fails
a^2 = 2(64) + 9 not a perfect square
Senior Manager
Senior Manager
avatar
Joined: 06 Aug 2011
Posts: 409
Followers: 2

Kudos [?]: 70 [0], given: 82

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 28 Sep 2012, 21:17
Area===== assume it L2.. because..L*L area..

permiter=========4L

a=2p+9...

L2=2(4L)+9.

L2-8L-9=0

L will contain two solutions.. L=-1 or +9..

-1 can not be the Length or anyside..so its 9..9*4..=36..
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 3894
Followers: 252

Kudos [?]: 49 [0], given: 0

Premium Member
Re: The area of a square garden is A square feet and the perimet [#permalink] New post 13 Nov 2013, 13:42
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 3894
Followers: 252

Kudos [?]: 49 [0], given: 0

Premium Member
Re: The area of a square garden is A square feet and the perimet [#permalink] New post 19 Nov 2014, 06:26
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Manager
Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 175
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Followers: 0

Kudos [?]: 8 [0], given: 46

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 11 Jan 2015, 04:21
Hey,

This is a fairly easy problem, but I think the stem is not very clear. That because it says a=2p+9, but it doesn't clarify if this "a" is the area. Especially since before it was stated that the area is A. At least I was left wondering is "a" is the area of the side of the square.

Anyway, I did it both ways. It didn't work out as "a" being the side, so I concluded that it must be the area. And I know that it doesn't make much sense to be the side, since "p", the perimeter, cannot be less than the side. Still though I think it is not clear enough!
Intern
Intern
avatar
Joined: 23 Dec 2014
Posts: 22
Followers: 0

Kudos [?]: 0 [0], given: 33

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 26 Jan 2015, 16:45
pacifist85 wrote:
Hey,

This is a fairly easy problem, but I think the stem is not very clear. That because it says a=2p+9, but it doesn't clarify if this "a" is the area. Especially since before it was stated that the area is A. At least I was left wondering is "a" is the area of the side of the square.

Anyway, I did it both ways. It didn't work out as "a" being the side, so I concluded that it must be the area. And I know that it doesn't make much sense to be the side, since "p", the perimeter, cannot be less than the side. Still though I think it is not clear enough!


I was thinking the same question. He said "a" not "A" .
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 5156
Location: Pune, India
Followers: 1251

Kudos [?]: 6081 [0], given: 173

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 26 Jan 2015, 21:30
Expert's post
Salvetor wrote:
pacifist85 wrote:
Hey,

This is a fairly easy problem, but I think the stem is not very clear. That because it says a=2p+9, but it doesn't clarify if this "a" is the area. Especially since before it was stated that the area is A. At least I was left wondering is "a" is the area of the side of the square.

Anyway, I did it both ways. It didn't work out as "a" being the side, so I concluded that it must be the area. And I know that it doesn't make much sense to be the side, since "p", the perimeter, cannot be less than the side. Still though I think it is not clear enough!


I was thinking the same question. He said "a" not "A" .


Yes, the area is given as 'A' and perimeter as 'P' and the relation between them is given as A = 2P + 9
The different As seem to be a typing oversight.

You need to find the perimeter so get rid of A. Side of the square will be \sqrt{A}.
So Perimeter P = 4*Side = 4\sqrt{A}
A = P^2/16 = 2P + 9
Solving, we get P = 36
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Manager
Manager
User avatar
Joined: 03 Oct 2014
Posts: 60
Location: India
Concentration: Operations, Organizational Behavior
WE: Engineering (Aerospace and Defense)
Followers: 0

Kudos [?]: 16 [0], given: 20

Re: The area of a square garden is A square feet and the perimet [#permalink] New post 26 Jan 2015, 22:23
Substitute....area - s^2.....p - 4s......side = 9...Perimeter comes out to be 36
_________________

------------------------------------------------------------------------

Don't Look Back... You are not going that way... !!!!!!!!!!!!!!!

Intern
Intern
User avatar
Joined: 27 Jun 2014
Posts: 25
Location: New Zealand
Concentration: Strategy, General Management
GRE 1: 324 Q161 V163
GPA: 3.6
WE: Editorial and Writing (Computer Software)
Followers: 0

Kudos [?]: 12 [0], given: 45

Premium Member
Re: The area of a square garden is A square feet and the perimet [#permalink] New post 29 Jan 2015, 18:46
zz0vlb wrote:
The area of a square garden is A square feet and the perimeter is p feet. If a=2p+9, what is the perimeter of the garden, in feet?

A. 28
B. 36
C. 40
D. 56
E. 64


Please edit question to read A= 2p+9. a is different from A and I spent 10 minutes scratching my head over this typo.
_________________

"Hardwork is the easiest way to success." - Aviram

Magoosh GMAT 1: 660
Magoosh GMAT 2: 680
Magoosh GMAT 3: 700
Veritas Prep GMAT 1: 730

Re: The area of a square garden is A square feet and the perimet   [#permalink] 29 Jan 2015, 18:46
    Similar topics Author Replies Last post
Similar
Topics:
A square garden is surrounded by a 2 feet wide walkway on Vamshi8411 2 26 Jul 2012, 04:34
2 Experts publish their posts in the topic The area of a square garden is A square feet and the xmagedo 7 25 Jul 2010, 23:56
The area of a square garden is A square feet and the blog 2 04 Feb 2008, 18:12
What is the area of a square with perimeter P ? (A) 16 bmwhype2 1 01 Jun 2007, 20:13
2 Experts publish their posts in the topic The area of a square garden is A square feet and the perimet jlui4477 6 19 Apr 2006, 20:50
Display posts from previous: Sort by

The area of a square garden is A square feet and the perimet

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.