GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 07 Jul 2020, 12:10

### 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

# The floor of a rectangular room of 72 square meters area needs to be c

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 65062
The floor of a rectangular room of 72 square meters area needs to be c  [#permalink]

### Show Tags

02 Jun 2020, 04:17
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:06) correct 17% (01:41) wrong based on 18 sessions

### HideShow timer Statistics

The floor of a rectangular room of 72 square meters area needs to be covered by a circular carpet that occupies exactly half the area of the floor. What must be the circumference of the carpet in meters?

A. 3√π
B. 6√π
C. 9√π
D. 12√π
E. 15√π

_________________
GMAT Club Legend
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4330
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
The floor of a rectangular room of 72 square meters area needs to be c  [#permalink]

### Show Tags

02 Jun 2020, 04:28
Bunuel wrote:
The floor of a rectangular room of 72 square meters area needs to be covered by a circular carpet that occupies exactly half the area of the floor. What must be the circumference of the carpet in meters?

A. 3√π
B. 6√π
C. 9√π
D. 12√π
E. 15√π

ARea of circle = $$(\frac{1}{2})*72 = 36 = πr^2$$

i.e. $$r^2 = 36/π$$

i.e. $$r = 6/√π$$

Circumference $$= 2πr = 2π*(6/√π) = 12√π$$

_________________
Prepare with PERFECTION to claim Q≥50 and V≥40 !!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting

Most affordable l Comprehensive l 2000+ Qn ALL with Video explanations l LINK: Courses and Pricing
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l NEW OG QUANT 50 Qn+VIDEO Sol.
Intern
Joined: 28 Aug 2019
Posts: 5
Re: The floor of a rectangular room of 72 square meters area needs to be c  [#permalink]

### Show Tags

02 Jun 2020, 05:42
The answer is option D. Since the area of the circle= 36 sq. mtrs. And if we apply the formula of area of circle we get πr^2= 36 so r= 6/√π and circumference = 2πr= 2*π*6/√π= 12√π

Posted from my mobile device
IESE School Moderator
Joined: 11 Feb 2019
Posts: 308
Re: The floor of a rectangular room of 72 square meters area needs to be c  [#permalink]

### Show Tags

02 Jun 2020, 06:24
IMO D

Cirlce Area = 1/2(Rectangle Area) = 1/2 * 72 = 36

π(r^2) = 36
==> r = 6/√π

Circumference: 2πr ==> 2 * π * 6/√π = 12√π
_________________

Cheers,
NJ
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 5011
Location: India
GPA: 3.5
Re: The floor of a rectangular room of 72 square meters area needs to be c  [#permalink]

### Show Tags

02 Jun 2020, 08:57
Bunuel wrote:
The floor of a rectangular room of 72 square meters area needs to be covered by a circular carpet that occupies exactly half the area of the floor. What must be the circumference of the carpet in meters?

A. 3√π
B. 6√π
C. 9√π
D. 12√π
E. 15√π

Area of carpet must be 36

Now, $$πr^2 = 36$$

So, $$r =\frac{ 6}{\sqrt{π}}$$

Hence, circumference of the circle will be $$2πr = 2*\frac{ 6}{\sqrt{π}} = \frac{12}{\sqrt{π}}$$ , Answer must be (D)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Re: The floor of a rectangular room of 72 square meters area needs to be c   [#permalink] 02 Jun 2020, 08:57