MBA Spotlight – The Biggest MBA Fair is June 13-14
closeclose
It is currently 07 Jun 2023, 18:54
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

The area of a square garden is A square feet and the perimeter is P

17 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
zz0vlb
Manager
Manager
Joined: 27 Feb 2010
Posts: 59
Location: Denver
The area of a square garden is A square feet and the perimeter is P [#permalink] New post  Updated on: 14 Dec 2017, 01:34
5
Kudos
11
Bookmarks
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (01:53) correct 15% (02:23) wrong based on 496 sessions

Hide Show timer Statistics

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
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by zz0vlb on 28 Apr 2010, 08:39.
Last edited by Bunuel on 14 Dec 2017, 01:34, edited 3 times in total.
Renamed the topic and edited the question.
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Reply
avatar
Silvers
Manager
Manager
Joined: 12 Jan 2010
Posts: 213
Schools:DukeTuck,Kelogg,Darden
Reviews Badge
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  28 Apr 2010, 08:44
4
Kudos
1
Bookmarks
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
General Discussion
User avatar
Hussain15
Retired Moderator
Joined: 18 Jun 2009
Status:The last round
Posts: 1081
Concentration: Strategy, General Management
Schools: Stanford '14 (D) Booth '14 (D) Johnson '14 (D)
GMAT 1: 680 Q48 V34
GMAT ToolKit User
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  28 Apr 2010, 08:47
1
Bookmarks
\(A=l * l =l^2\)

\(P= 4l\)

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
Signature Read More
avatar
Silvers
Manager
Manager
Joined: 12 Jan 2010
Posts: 213
Schools:DukeTuck,Kelogg,Darden
Reviews Badge
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  28 Apr 2010, 10:46
Solving it using the options is probably the fastest. Especially once you figure out that the side of the square is Odd.
avatar
gxsingh
Intern
Intern
Joined: 28 Apr 2010
Posts: 2
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  28 Apr 2010, 13:46
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?
avatar
Silvers
Manager
Manager
Joined: 12 Jan 2010
Posts: 213
Schools:DukeTuck,Kelogg,Darden
Reviews Badge
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  28 Apr 2010, 13:48
1
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 :)
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88737
CAT Tests Forum Quiz Mode Top Member of the Month
The area of a square garden is A square feet and the perimeter is P [#permalink] New post  24 Sep 2012, 11:30
2
Kudos
Expert Reply
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 the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
B
venmic
Manager
Manager
Joined: 02 Nov 2009
Posts: 80
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  28 Sep 2012, 21:23
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
avatar
sanjoo
Senior Manager
Senior Manager
Joined: 06 Aug 2011
Posts: 275
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  28 Sep 2012, 22:17
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 !
Signature Read More
User avatar
pacifist85
Senior Manager
Senior Manager
Joined: 07 Apr 2014
Status:Math is psycho-logical
Posts: 357
Location: Netherlands
GMAT Date: 02-11-2015
WE:Psychology and Counseling (Other)
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  11 Jan 2015, 05:21
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!
avatar
B
Salvetor
Intern
Intern
Joined: 23 Dec 2014
Posts: 44
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  26 Jan 2015, 17:45
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" .
User avatar
L
KarishmaB
GMAT Expert
Joined: 16 Oct 2010
Posts: 13800
Location: Pune, India
Top Member of the Month
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  26 Jan 2015, 22:30
Expert Reply
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
Owner of Angles and Arguments

Check out my Blog Posts here: Blog

For Study Modules, click here: Study Modules
For Private Tutoring, contact us: Private Tutoring
Signature Read More
avatar
G
cptholt
Intern
Intern
Joined: 01 Jan 2016
Posts: 28
Location: India
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  02 May 2016, 18:08
VeritasPrepKarishma wrote:
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



I used this method,but end up with a complex quadratic equation - P^2-32P-144=0 Any quick ways to solve for p from that quadratic equation?
User avatar
L
KarishmaB
GMAT Expert
Joined: 16 Oct 2010
Posts: 13800
Location: Pune, India
Top Member of the Month
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  02 May 2016, 18:33
1
Kudos
Expert Reply
theperfectgentleman wrote:

I used this method,but end up with a complex quadratic equation - P^2-32P-144=0 Any quick ways to solve for p from that quadratic equation?


Note that the equation has negative coefficient of P and a negative constant term.
So sum of roots and product of roots both are negative. Hence one root is negative and the other positive. So at least one root will be greater than 32. Since the product of both is 144, the other root will be very small such as 2, 3 or 4. You see that 36*4 = 144 so you get the split as

P^2 - 36P + 4P - 144 = 0
(P - 36)(P + 4) = 0
P = 36
_________________
Karishma
Owner of Angles and Arguments

Check out my Blog Posts here: Blog

For Study Modules, click here: Study Modules
For Private Tutoring, contact us: Private Tutoring
Signature Read More
User avatar
G
Badari
Manager
Manager
Joined: 17 Nov 2014
Posts: 53
Location: India
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  03 May 2016, 08:07
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.
avatar
B
ak2121
Current Student
Joined: 26 Jun 2021
Posts: 60
Location: India
Schools: EDHEC (A) ESADE MiM"23 (A)
GMAT 1: 650 Q45 V35
GPA: 3.3
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  15 Aug 2021, 07:11
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

Instead of assuming side as x or a lets assume side as sqrt(A) derived from the area A and side as P/4 derived from the perimeter. This makes sqrt(A) = P/4.
When applying this in the equation A=2P+9, we cannot find the answer, hence i feel the question has a flaw.
please help
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 27908
Re: The area of a square garden is A square feet and the perimeter is P [#permalink] New post  22 Apr 2023, 04:55
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
Signature Read More
GMAT Club Bot
gmatclubot
Re: The area of a square garden is A square feet and the perimeter is P [#permalink]
22 Apr 2023, 04:55
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
88737 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3142 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions