It is currently 23 Jan 2018, 19:50

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The perimeter of rectangle A is 200 meters. The length of rectangle B

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

Hide Tags

Top Contributor
1 KUDOS received
Board of Directors
User avatar
G
Joined: 01 Sep 2010
Posts: 3454
The perimeter of rectangle A is 200 meters. The length of rectangle B [#permalink]

Show Tags

New post 25 Jul 2017, 10:22
1
This post received
KUDOS
Top Contributor
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:38) correct 31% (02:03) wrong based on 202 sessions

HideShow timer Statistics

The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?

A. 10

B. 20

C. 40

D. 50

E. 60
[Reveal] Spoiler: OA

_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1261
Premium Member CAT Tests
The perimeter of rectangle A is 200 meters. The length of rectangle B [#permalink]

Show Tags

New post 25 Jul 2017, 11:04
carcass wrote:
The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?

A. 10

B. 20

C. 40

D. 50

E. 60

For the square, the net change in perimeter, from decreased L (-10), twice, and (+10) in W, twice, is 0.

So perimeter of rectangle equals perimeter of square.

Perimeter of square = 4s

4s = 200
s = 50

If the side of the square is 50, then the width of the rectangle is 50 - 10 = 40.

Answer C
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Intern
Intern
avatar
B
Joined: 30 May 2013
Posts: 29
GMAT 1: 600 Q50 V21
Reviews Badge
Re: The perimeter of rectangle A is 200 meters. The length of rectangle B [#permalink]

Show Tags

New post 25 Jul 2017, 11:17
carcass wrote:
The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?

A. 10

B. 20

C. 40

D. 50

E. 60


For Rectangle A, 2(l+b) = 200 or l+b = 100 -------(1) where l & b are the length and breadth of rectangle A
For Rectangle B, which is a square: l-10 = b+10 ----- (2) (as the sides of the squares are equal)
Using (1) and (2), b= 40
Top Contributor
Senior RC Moderator
User avatar
P
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1085
Location: India
GMAT 1: 680 Q47 V34
GRE 1: 321 Q164 V157
WE: General Management (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: The perimeter of rectangle A is 200 meters. The length of rectangle B [#permalink]

Show Tags

New post 25 Jul 2017, 11:29
Top Contributor
2(L+W)=200. Then L+W=100

Now For B,

Lenght of B= L-10. And Width of B= W+10.

We are told that B is square. Then Length of B= Width of B

L-10=W+10. So L= W+20.

W+20+W=100

2W=80

W=40. So the Answer is C.
_________________

Become a GMAT Club Premium member to avail lot of discounts

Manager
Manager
User avatar
B
Joined: 21 Jun 2017
Posts: 77
Re: The perimeter of rectangle A is 200 meters. The length of rectangle B [#permalink]

Show Tags

New post 10 Sep 2017, 04:25
1
This post was
BOOKMARKED
carcass wrote:
The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?

A. 10

B. 20

C. 40

D. 50

E. 60





Permiter = 2(length + width)

A = 200 = 2(l +w)
B = 2((l-10) + (w +10)
given B = square, you know that B's length is equal to its width
(l-10) = (10 + w)
l = 20 + w
200 = 2((20 +w) + w)
100 = ((20 + w) + w)
80 = 2w
40 =w

Therefore the answer is (C)
Re: The perimeter of rectangle A is 200 meters. The length of rectangle B   [#permalink] 10 Sep 2017, 04:25
Display posts from previous: Sort by

The perimeter of rectangle A is 200 meters. The length of rectangle B

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


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.