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

It is currently 02 Oct 2014, 02:39

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

Square patio with walkway

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 24 Jun 2009
Posts: 61
Followers: 1

Kudos [?]: 16 [0], given: 2

Square patio with walkway [#permalink] New post 22 Nov 2009, 18:54
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Image
1 KUDOS received
SVP
SVP
User avatar
Joined: 30 Apr 2008
Posts: 1893
Location: Oklahoma City
Schools: Hard Knocks
Followers: 30

Kudos [?]: 435 [1] , given: 32

Re: Square patio with walkway [#permalink] New post 22 Nov 2009, 20:27
1
This post received
KUDOS
One other way to solve this is that 132 meters is the size of the walkway. If we add the area of the patio inside it, then we know that the entire thing is still square and the area must be a perfect square.

132 + x = perfect square.

12 = 144
13 = 169
14 = 196
15 = 225

Lets see if any of the answers even result in a perfect square:

a) 56 + 132 = 188 [Not perfect square ]
b) 64 + 132 = 196 [Perfect square]
c) 68 + 132 = 200 [Not Perfect Square]
d) 81 + 132 = 213 [Not Perfect Square]
e) 100 + 132 = 232 [Not perfect square]

The only possibility is B
_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 19 Nov 2007
Posts: 228
Followers: 1

Kudos [?]: 89 [0], given: 1

Re: Square patio with walkway [#permalink] New post 22 Nov 2009, 19:34
Two equations can be formed from the question stem

1---- (a+2x)^2-a^2=132 => 4 x^2+4 a x132
2-----a=x+5

where a= width of the patio
x= width of the walk way

Solving we get a=8 and x=3

So the area of patio is 64
Hence the answer should be B
Manager
Manager
User avatar
Joined: 13 Oct 2009
Posts: 115
Location: USA
Schools: IU KSB
Followers: 4

Kudos [?]: 50 [0], given: 66

Re: Square patio with walkway [#permalink] New post 22 Nov 2009, 19:45
Area of patio & walkway together = area of walkway + area of patio
(3x+5)^2 = 132 + (x+5)^2
(3x+5)^2 - (x+5)^2 = 132
8x^2+20x=132
x(2x+5) = 33 = 3*11
so x=3

area of patio is (x+5)^2= 8^2 = 64

Answer B
Senior Manager
Senior Manager
avatar
Status: Yeah well whatever.
Joined: 18 Sep 2009
Posts: 347
Location: United States
GMAT 1: 660 Q42 V39
GMAT 2: 730 Q48 V42
GPA: 3.49
WE: Analyst (Insurance)
Followers: 5

Kudos [?]: 50 [0], given: 17

Re: Square patio with walkway [#permalink] New post 23 Nov 2009, 11:48
jallen morris, that's a much easier way to solve this. Thanks for advice.
_________________

He that is in me > he that is in the world. - source 1 John 4:4

SVP
SVP
User avatar
Joined: 30 Apr 2008
Posts: 1893
Location: Oklahoma City
Schools: Hard Knocks
Followers: 30

Kudos [?]: 435 [0], given: 32

Re: Square patio with walkway [#permalink] New post 23 Nov 2009, 11:57
This scenario was easy because only one of the answers resulted in a perfect square, so the others were eliminated. If you would have come up with 2 answers that were perfect squares, such as 196 and 225, then you'd have to look further.

The number added to 132 resulting in 196 or 225 would have to be a perfect square as well because we're told the interior patio is square. From that standpoint, 64, 81 and 100 were options, but only 64 + 132 = a perfect square (196 = 14^2)

vannbj wrote:
jallen morris, that's a much easier way to solve this. Thanks for advice.

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: Square patio with walkway   [#permalink] 23 Nov 2009, 11:57
    Similar topics Author Replies Last post
Similar
Topics:
a square patio surrounded by a walkway of width x meters. If haichao 2 11 Dec 2008, 15:21
5 The figure shows a square patio surrounded by a walkway of amitdgr 14 24 Oct 2008, 02:46
a square patio surrounded by a walkway of width x meters. If chenhong1224 3 17 Oct 2008, 08:36
The figure shows a square patio surrounded by a walkway of joemama142000 5 06 Feb 2006, 21:26
The figure shows a square patio surrounded by a walkway of rthothad 3 30 Jun 2005, 19:03
Display posts from previous: Sort by

Square patio with walkway

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.