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

It is currently 24 Oct 2014, 03:59

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A small, rectangular park has a perimeter of 560 feet and a

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

A small, rectangular park has a perimeter of 560 feet and a [#permalink] New post 22 Aug 2006, 04:55
A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet?

A. 19,200
B. 19,600
C. 20,000
D. 20,400
E. 20,800
Senior Manager
Senior Manager
avatar
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

 [#permalink] New post 22 Aug 2006, 05:36
Hi Sandi,

Answer is A just took a paper base gmat test. Had to guess on this one since I was running out of time. Look simple in the beginning until you needed to factor. Turned out to be a trap.

L+w=280 l=280-w
l^2+w^2=200^2
w^2-280w+19200=)
w(w-280)=-19200
take out the negative num
-w(280-w)=-19200 --> w(280-w)=19200
Area = w(280-w) answer 19200
Senior Manager
Senior Manager
avatar
Joined: 15 Aug 2004
Posts: 329
Followers: 1

Kudos [?]: 4 [0], given: 0

 [#permalink] New post 22 Aug 2006, 06:01
Better way...

2(x+y) = 560
=> x+y = 280

Squaring both sides...

x^2 + y^2 + 2xy = 280^2

But we know that x^2 + y^2 = 200^2

So substitute....2xy = 280^2 - 200^2
=> 2xy = 80 * 480
=> xy = 19200

Answer : A...
Current Student
User avatar
Joined: 29 Jan 2005
Posts: 5252
Followers: 23

Kudos [?]: 140 [0], given: 0

Reviews Badge
 [#permalink] New post 22 Aug 2006, 06:14
apollo168 wrote:
Hi Sandi,

Answer is A just took a paper base gmat test. Had to guess on this one since I was running out of time. Look simple in the beginning until you needed to factor. Turned out to be a trap.

L+w=280 l=280-w
l^2+w^2=200^2
w^2-280w+19200=)
w(w-280)=-19200
take out the negative num
-w(280-w)=-19200 --> w(280-w)=19200
Area = w(280-w) answer 19200


Yeah, I substituted the first equation into the second and got: w^2-280w+19200=0

Then I broke down 19200 to get the factors (w-160)(w-120)=0

Either way, the area comes to 19,200

What's the shortcut here??

Last edited by GMATT73 on 22 Aug 2006, 07:28, edited 1 time in total.
Intern
Intern
User avatar
Joined: 14 Aug 2006
Posts: 8
Followers: 0

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

interesting [#permalink] New post 22 Aug 2006, 07:20
hmm. interesting. I ddi the calc in my head but now I will look at it again.

BTW - Can you answer this one?


Data Sufficiency - Section 6 -#20
The symbol @ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 3@2?

1) 0@1=1
2) 1@0=1
_________________

sandi10017

Senior Manager
Senior Manager
avatar
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

 [#permalink] New post 22 Aug 2006, 07:21
GMATT73 wrote:
apollo168 wrote:
Hi Sandi,

w^2-280w+19200=)
w(w-280)=-19200
take out the negative num
-w(280-w)=-19200 --> w(280-w)=19200
Area = w(280-w) answer 19200


Yeah, I substituted the first equation into the second and got: w^2-280w+19200=0

Then I broke down 19200 to get the factors (w-160)(w-180)=0

Either way, the area comes to 19,200

What's the shortcut here??


Hi,

I had a problem factoring the large number. I dont think(w-160)(w-180) is equal to w^2-280w+19200. Couldnt find the factors.

What I did was I form fitted the w^2-280w+19200 to match the equation of the area w(280-w) and equate it to 19200
Senior Manager
Senior Manager
avatar
Joined: 14 Jul 2005
Posts: 405
Followers: 1

Kudos [?]: 10 [0], given: 0

Re: interesting [#permalink] New post 22 Aug 2006, 07:31
sandi10017 wrote:
hmm. interesting. I ddi the calc in my head but now I will look at it again.

BTW - Can you answer this one?


Data Sufficiency - Section 6 -#20
The symbol @ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 3@2?

1) 0@1=1
2) 1@0=1


Answer should be A

From Statement 1 - @ can only be '+' only hence 3@2 = 3+2 = 5

From Statement 2 - 1@0=1 implies @ could be '+' or '-' which would give you 2 different answers for 3@2 (NOT SUFF)
Intern
Intern
User avatar
Joined: 14 Aug 2006
Posts: 8
Followers: 0

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

DS [#permalink] New post 22 Aug 2006, 07:42
The text book answer is A, But I'm confused because technically you could switch the numbers - meaning in data point 1) could be 0+1=1 OR it could be 1-0=1, in the latter, this would translate to 2-3=-1, while the former would translate to 3+2=5 and thus A alone is insufficient.

Does anyone have a solution to this?

Now this one. This one is giving me a lot of trouble as well.

21. Are the numbers K/4, Z/3, R/2 in increasing order?

1)3<Z<4
2)R<Z<K
_________________

sandi10017

Senior Manager
Senior Manager
avatar
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

 [#permalink] New post 22 Aug 2006, 07:45
Hey sumitsarkar82

That is a better way thanks
Current Student
User avatar
Joined: 29 Jan 2005
Posts: 5252
Followers: 23

Kudos [?]: 140 [0], given: 0

Reviews Badge
Re: DS [#permalink] New post 22 Aug 2006, 07:45
sandi10017 wrote:
The text book answer is A, But I'm confused because technically you could switch the numbers - meaning in data point 1) could be 0+1=1 OR it could be 1-0=1, in the latter, this would translate to 2-3=-1, while the former would translate to 3+2=5 and thus A alone is insufficient.

Does anyone have a solution to this?

Now this one. This one is giving me a lot of trouble as well.

21. Are the numbers K/4, Z/3, R/2 in increasing order?

1)3<Z<4
2)R<Z<K


Unless the stem specifies that you can switch the numbers, we have to do the calculations in the order given. Somebody here once said it right: Assume nothing. Only (A) stands.
Intern
Intern
User avatar
Joined: 14 Aug 2006
Posts: 8
Followers: 0

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

Assume nothing [#permalink] New post 22 Aug 2006, 07:49
Well thank you very much for clarifying that for me. I would have made teh assumption that the "@" function could be interpreted in any way possible. Its still baffling to me that you have to take the numbers in the order given but I guess for now its one of those things I will have to accept.

Thanks so much!
_________________

sandi10017

Intern
Intern
User avatar
Joined: 14 Aug 2006
Posts: 8
Followers: 0

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

makes sense [#permalink] New post 22 Aug 2006, 07:53
Actually now it makes sense. The question states 3@2, where @, represents a function. Hence the reason you take the order as given.

now i get it.
_________________

sandi10017

Senior Manager
Senior Manager
avatar
Joined: 06 Jul 2004
Posts: 474
Location: united states
Followers: 1

Kudos [?]: 11 [0], given: 0

 [#permalink] New post 22 Aug 2006, 12:33
sandi, could you post your other question as an independent post? it will get better responses that way.

thanks
_________________

for every person who doesn't try because he is
afraid of loosing , there is another person who
keeps making mistakes and succeeds..

Senior Manager
Senior Manager
avatar
Joined: 06 Jul 2004
Posts: 474
Location: united states
Followers: 1

Kudos [?]: 11 [0], given: 0

 [#permalink] New post 22 Aug 2006, 12:39
by the way, i think answer to the R,Z,K question posted by sandi is E

stem 1 => z is a positive number between 3 and 4

stem 2 => R is less than Z and K is greater than Z. So K is a positive number, whereas R can be a positive or negative number of any magnitude. So, you can't tell for sure what relationship K/4, Z/3 and R/2 have.
_________________

for every person who doesn't try because he is
afraid of loosing , there is another person who
keeps making mistakes and succeeds..

VP
VP
User avatar
Joined: 02 Jun 2006
Posts: 1270
Followers: 2

Kudos [?]: 39 [0], given: 0

 [#permalink] New post 22 Aug 2006, 20:03
A. 19,200

2(l+w) = 560 => (l+w)= 280

l^2 + w^2 = 40000

(l+w)^2 -2lw = 40000

78400 - 40000 = 2lw

lw = 19200


DS: Answer A.
SVP
SVP
User avatar
Joined: 03 Jan 2005
Posts: 2251
Followers: 12

Kudos [?]: 204 [0], given: 0

 [#permalink] New post 24 Aug 2006, 07:13
What I did was to recognize that 200:280=5:7=5: (3+4) since 3,4,5 is a typical triangle. So I know that the two sides are 3*40 and 4*40 and the area is 12*1600=19200. Just to give an alternative approach.
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.


Last edited by HongHu on 24 Aug 2006, 07:25, edited 1 time in total.
Director
Director
User avatar
Joined: 09 Oct 2005
Posts: 727
Location: Madrid
Followers: 3

Kudos [?]: 11 [0], given: 0

 [#permalink] New post 24 Aug 2006, 07:21
HongHu wrote:
What I did was to recognize that 200:280=5:7=5:(3+4) since 3,4,5 is a typical triangle. So I know that the two sides are 3*40 and 4*40 and the area is 12*1600=19200. Just to give an alternative approach.

HongHu is awesome as usual
Gr8 approach :wink:
_________________

IE IMBA 2010

Current Student
User avatar
Joined: 29 Jan 2005
Posts: 5252
Followers: 23

Kudos [?]: 140 [0], given: 0

Reviews Badge
 [#permalink] New post 24 Aug 2006, 07:26
Yurik79 wrote:
HongHu wrote:
What I did was to recognize that 200:280=5:7=5:(3+4) since 3,4,5 is a typical triangle. So I know that the two sides are 3*40 and 4*40 and the area is 12*1600=19200. Just to give an alternative approach.

HongHu is awesome as usual
Gr8 approach :wink:


Where can I go to get a HongHu math chip upgrade?
  [#permalink] 24 Aug 2006, 07:26
    Similar topics Author Replies Last post
Similar
Topics:
11 Experts publish their posts in the topic A small, rectangular park has a perimeter of 560 feet and a aljatar 8 06 Mar 2010, 04:21
A small, rectangular park has a perimeter of 560 feet and a arorag 3 27 Sep 2008, 12:05
A rectangular garden has a perimeter of 560 feet. If the positive soul 5 12 Jul 2006, 05:15
A small, rectangular park has a perimeter of 560 feet and a M8 4 24 Apr 2006, 12:15
Q31: A small, rectangular park has a perimeter of 560 feet maitri_mehta 3 05 Nov 2004, 20:20
Display posts from previous: Sort by

A small, rectangular park has a perimeter of 560 feet and a

  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®.