GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Feb 2019, 05:15

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# The area of a rectangular playground is 192 square meters. What is the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52971
The area of a rectangular playground is 192 square meters. What is the  [#permalink]

### Show Tags

05 Sep 2018, 23:37
00:00

Difficulty:

25% (medium)

Question Stats:

86% (00:54) correct 14% (02:06) wrong based on 20 sessions

### HideShow timer Statistics

The area of a rectangular playground is 192 square meters. What is the perimeter of the playground?

(1) The length of the playground is three times the width of the playground .
(2) If the width of the playground were doubled, then the ratio of the length to the width would be 3 : 2

_________________
ISB, NUS, NTU Moderator
Joined: 11 Aug 2016
Posts: 376
Re: The area of a rectangular playground is 192 square meters. What is the  [#permalink]

### Show Tags

06 Sep 2018, 02:31
[quote=]The area of a rectangular playground is 192 square meters. What is the perimeter of the playground?

(1) The length of the playground is three times the width of the playground .
(2) If the width of the playground were doubled, then the ratio of the length to the width would be 3 : 2[/quote]

let the length be L and the Width W
We know $$L*W=192$$.......................(i)
$$Perimeter=2(L+W)$$........................(ii)

Statement 1: The length of the playground is three times the width of the playground
This implies, $$L=3W$$.......................(iii)
We can substitute L in (i) and solve the quadratic to calculate $$W$$
and using (ii), we can get L and hence calculate the Perimeter using (iii)
Sufficient.

Statement 1: If the width of the playground were doubled, then the ratio of the length to the width would be 3 : 2
This implies, $$W'(New Width)=2W$$
Therefore, $$\frac{L}{2W} = \frac{3}{2}$$
We can substitute either of L or W from this equation into (i) to solve the quadratic and again use the above equation to calculate the other variable.
Using (ii), we can calculate the Perimeter.
Sufficient.

_________________

~R.
If my post was of any help to you, You can thank me in the form of Kudos!!
Applying to ISB ? Check out the ISB Application Kit.

Re: The area of a rectangular playground is 192 square meters. What is the   [#permalink] 06 Sep 2018, 02:31
Display posts from previous: Sort by