Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club

 It is currently 27 Mar 2017, 09:43

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Equation |x/2| + |y/2| = 5 encloses a certain region on

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

### Hide Tags

Senior Manager
Joined: 05 Oct 2008
Posts: 274
Followers: 3

Kudos [?]: 418 [0], given: 22

Equation |x/2| + |y/2| = 5 encloses a certain region on [#permalink]

### Show Tags

19 Oct 2008, 00:43
3
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

48% (01:44) correct 52% (00:55) wrong based on 83 sessions

### HideShow timer Statistics

Equation $$|\frac{x}{2}| + |\frac{y}{2}| = 5$$ encloses a certain region on the coordinate plane. What is the area of this region?

A. 20
B. 50
C. 100
D. 200
E. 400
[Reveal] Spoiler: OA
VP
Joined: 17 Jun 2008
Posts: 1396
Followers: 8

Kudos [?]: 308 [0], given: 0

Re: Coordinate Plane [#permalink]

### Show Tags

19 Oct 2008, 01:09
study wrote:
Equation $$|\frac{x}{2}| + |\frac{y}{2}| = 5$$ encloses a certain region on the coordinate plane. What is the area of this region?

* 20
* 50
* 100
* 200
* 400

Represents a squarte with side 10
hence Area = 100

x/10 +y/10 =10
-x/10 +y/10 =10
-x/10 -y/10 =10
x/10 -y/10 =10

hence IMO C
_________________

cheers
Its Now Or Never

VP
Joined: 17 Jun 2008
Posts: 1396
Followers: 8

Kudos [?]: 308 [0], given: 0

Re: Coordinate Plane [#permalink]

### Show Tags

19 Oct 2008, 01:48
study wrote:
OA is not C

ANy takers !!!
kindly post the OA
_________________

cheers
Its Now Or Never

Manager
Joined: 09 Oct 2008
Posts: 93
Followers: 1

Kudos [?]: 23 [0], given: 0

Re: Coordinate Plane [#permalink]

### Show Tags

19 Oct 2008, 02:17
200

(10,0),(0,10),(-10,0),(0,-10) This are the four points which acn have max area.

so diagonal of this square is of lengh 20..

20^2 = r^2 +r^2

400 = 2r^2

r^2 = area = 200..
Senior Manager
Joined: 21 Apr 2008
Posts: 497
Schools: Kellogg, MIT, Michigan, Berkeley, Marshall, Mellon
Followers: 9

Kudos [?]: 52 [0], given: 13

Re: Coordinate Plane [#permalink]

### Show Tags

19 Oct 2008, 11:20
vishalgc wrote:
200

(10,0),(0,10),(-10,0),(0,-10) This are the four points which acn have max area.

so diagonal of this square is of lengh 20..

20^2 = r^2 +r^2

400 = 2r^2

r^2 = area = 200..

That's exactly what I get. IMO, the best way to solve this kind of problems is to calculate the points where the area cuts the axis.

I think this problem has already come up in a recent post.

Cheers,
_________________

mates, please visit my profile and leave comments
http://gmatclub.com/forum/johnlewis1980-s-profile-feedback-is-more-than-welcome-80538.html

I'm not linked to GMAT questions anymore, so, if you need something, please PM me

I'm already focused on my application package

My experience in my second attempt
http://gmatclub.com/forum/p544312#p544312
My experience in my third attempt
http://gmatclub.com/forum/630-q-47-v-28-engineer-non-native-speaker-my-experience-78215.html#p588275

SVP
Joined: 17 Jun 2008
Posts: 1568
Followers: 11

Kudos [?]: 259 [0], given: 0

Re: Coordinate Plane [#permalink]

### Show Tags

19 Oct 2008, 23:34
study wrote:
OA is C

What do you mean? Earlier, you have mentioned that OA is not C. And, OA cannot be C. It has to be D.
Senior Manager
Joined: 05 Oct 2008
Posts: 274
Followers: 3

Kudos [?]: 418 [0], given: 22

Re: Coordinate Plane [#permalink]

### Show Tags

22 Oct 2008, 02:06
While your answer is correct (it's a co-incidence) the method is not correct.

'Coz the (x,y) values you have chosen (0,-10) or(-10,0) do not satisfy the question stem info: $$|\frac{x}{2}| + |\frac{y}{2}| = 5$$

$$|\frac{-10}{2}| + |\frac{0}{2}| = -5$$ does NOT equal to 5.

Any takers for this one?
VP
Joined: 30 Jun 2008
Posts: 1042
Followers: 14

Kudos [?]: 587 [0], given: 1

Re: Coordinate Plane [#permalink]

### Show Tags

22 Oct 2008, 02:14
study wrote:
While your answer is correct (it's a co-incidence) the method is not correct.

'Coz the (x,y) values you have chosen (0,-10) or(-10,0) do not satisfy the question stem info: $$|\frac{x}{2}| + |\frac{y}{2}| = 5$$

$$|\frac{-10}{2}| + |\frac{0}{2}| = -5$$ does NOT equal to 5.

Any takers for this one?

When we have numbers/variables in modulus then the result is always positive

|-10| = 10

so $$|\frac{-10}{2}| + |\frac{0}{2}| = 5 + 0 = 5$$
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Senior Manager
Joined: 05 Oct 2008
Posts: 274
Followers: 3

Kudos [?]: 418 [0], given: 22

Re: Coordinate Plane [#permalink]

### Show Tags

22 Oct 2008, 02:52
oh man...i think i have too much math in my head to overlook a basic feature!! Thanks
Manager
Joined: 14 May 2007
Posts: 182
Location: India
Followers: 2

Kudos [?]: 70 [0], given: 11

Re: Coordinate Plane [#permalink]

### Show Tags

14 Nov 2010, 06:29
I am unable to understand how to solve this question.

If |X| + |Y| = 10 then we get sample no like (5,5) (-5,5) (5,-5) (-5,-5). so after plotting them I get each side as 10 and thus area as 100.

What am I missing here ??
Math Expert
Joined: 02 Sep 2009
Posts: 37619
Followers: 7404

Kudos [?]: 99666 [0], given: 11033

Re: Coordinate Plane [#permalink]

### Show Tags

14 Nov 2010, 06:33
greatchap wrote:
I am unable to understand how to solve this question.

If |X| + |Y| = 10 then we get sample no like (5,5) (-5,5) (5,-5) (-5,-5). so after plotting them I get each side as 10 and thus area as 100.

What am I missing here ??

Check this: cmat-club-test-question-m25-101963.html?hilit=encloses#p791302 and graphs-modulus-help-86549.html?hilit=horizontal#p649401

Hope it helps.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 14450
Followers: 608

Kudos [?]: 174 [0], given: 0

Re: Equation |x/2| + |y/2| = 5 encloses a certain region on [#permalink]

### Show Tags

17 Mar 2016, 02:52
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.
_________________
Re: Equation |x/2| + |y/2| = 5 encloses a certain region on   [#permalink] 17 Mar 2016, 02:52
Similar topics Replies Last post
Similar
Topics:
15 The equation x = 2y^2 + 5y - 17, describes a parabola in the 6 17 Oct 2012, 12:18
5 If equation |x/2| + |y/2| = 5 encloses a certain region on the coordin 7 21 Mar 2011, 19:16
If equation |x| + |y| = 5 encloses a certain region on the coordinate 1 26 Feb 2011, 10:51
73 If equation |x/2| + |y/2| = 5 enclose a certain region 26 30 Sep 2010, 04:10
3 If equation |x/2| + |y/2| + 5 encloses a certain region on the coordi 2 03 Sep 2010, 14:45
Display posts from previous: Sort by

# Equation |x/2| + |y/2| = 5 encloses a certain region on

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

 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®.