It is currently 16 Oct 2017, 20:50

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

What is the perimeter, in meters, of a rectangular playground 24 meter

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41875

Kudos [?]: 128463 [0], given: 12173

What is the perimeter, in meters, of a rectangular playground 24 meter [#permalink]

Show Tags

New post 20 Sep 2017, 01:55
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

81% (00:47) correct 19% (01:26) wrong based on 21 sessions

HideShow timer Statistics

What is the perimeter, in meters, of a rectangular playground 24 meters wide that has the same area as a rectangular playground 64 meters long and 48 meters wide?

(A) 112
(B) 152
(C) 224
(D) 256
(E) 304
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128463 [0], given: 12173

Manager
Manager
User avatar
S
Joined: 25 Nov 2015
Posts: 217

Kudos [?]: 62 [0], given: 232

Location: India
GPA: 3.64
WE: Engineering (Energy and Utilities)
GMAT ToolKit User Reviews Badge
Re: What is the perimeter, in meters, of a rectangular playground 24 meter [#permalink]

Show Tags

New post 20 Sep 2017, 05:18
Bunuel wrote:
What is the perimeter, in meters, of a rectangular playground 24 meters wide that has the same area as a rectangular playground 64 meters long and 48 meters wide?

(A) 112
(B) 152
(C) 224
(D) 256
(E) 304


Equating the Areas of the two rectangular playgrounds = 64x48=l x 24
l = 128 m
Perimeter = 2x(128+24)
=304m
Answer E

Please give kudos, if u liked my post!
_________________

When the going gets tough, the tough gets going...

Kudos [?]: 62 [0], given: 232

Director
Director
avatar
P
Joined: 22 May 2016
Posts: 797

Kudos [?]: 251 [0], given: 543

What is the perimeter, in meters, of a rectangular playground 24 meter [#permalink]

Show Tags

New post 20 Sep 2017, 06:38
Bunuel wrote:
What is the perimeter, in meters, of a rectangular playground 24 meters wide that has the same area as a rectangular playground 64 meters long and 48 meters wide?

(A) 112
(B) 152
(C) 224
(D) 256
(E) 304

Find area of first playground to find its perimeter.

For area of the first playground, use the doubling and halving rule to find the length of the first rectangular playground.*

Areas of the two playgrounds are equal:

\((24)(L_1) = (48)(64)\)

W = 24 is half of W = 48. If one factor is halved, the other is doubled. \(L_1 = (2*64) = 128\). OR

\(L_1 = \frac{(48)(64)}{24} = (64 * 2) = 128\)

Perimeter of first playground: 2(24 + 128) = 304

Answer E

*You could also factor to avoid long calculations:

\((24)(L_1) = (48)(64)\)
\([(3)(8)](L_1) = [(6)(8)][(8)(8)]\)
Factor out 8 on both sides. Isolate L on LHS by dividing 6 by 3 = 2. Then L = (2)(8)(8) = 128

Kudos [?]: 251 [0], given: 543

What is the perimeter, in meters, of a rectangular playground 24 meter   [#permalink] 20 Sep 2017, 06:38
Display posts from previous: Sort by

What is the perimeter, in meters, of a rectangular playground 24 meter

  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®.