It is currently 14 Dec 2017, 13:14

Decision(s) Day!:

CHAT Rooms | Wharton R1 | Stanford R1 | Tuck R1 | Ross R1 | Haas R1 | UCLA R1


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 area of a circular sign whose radius is 6 feet, is 3 times the are

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

Hide Tags

Senior Manager
Senior Manager
avatar
G
Joined: 26 Dec 2015
Posts: 257

Kudos [?]: 58 [0], given: 1

Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
The area of a circular sign whose radius is 6 feet, is 3 times the are [#permalink]

Show Tags

New post 22 Apr 2017, 18:29
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:20) correct 33% (01:22) wrong based on 42 sessions

HideShow timer Statistics

The area of a circular sign whose radius is 6 feet, is 3 times the area of a rectangular sign whose length is twice its width. What is the length, in feet, of the rectangular sign?

A) \(\sqrt{6\pi}\)

B) 3\(\sqrt{\pi}\)

C) 2\(\sqrt{6\pi}\)

D) 6\(\sqrt{\pi}\)

E) 12\(\sqrt{\pi}\)
[Reveal] Spoiler: OA

Kudos [?]: 58 [0], given: 1

Director
Director
User avatar
P
Joined: 05 Mar 2015
Posts: 966

Kudos [?]: 301 [0], given: 41

Re: The area of a circular sign whose radius is 6 feet, is 3 times the are [#permalink]

Show Tags

New post 22 Apr 2017, 19:12
LakerFan24 wrote:
The area of a circular sign whose radius is 6 feet, is 3 times the area of a rectangular sign whose length is twice its width. What is the length, in feet, of the rectangular sign?

A) \(\sqrt{6\pi}\)

B) 3\(\sqrt{\pi}\)

C) 2\(\sqrt{6\pi}\)

D) 6\(\sqrt{\pi}\)

E) 12\(\sqrt{\pi}\)



length =l width =w
l/2=w
area rect. = l*l/2
area of circle = 36π

as per stem
36π= l^2/2
thus l = 2 √ 6π

Ans C

Kudos [?]: 301 [0], given: 41

Expert Post
Top Contributor
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 11 Sep 2015
Posts: 1910

Kudos [?]: 2750 [1], given: 364

Location: Canada
Re: The area of a circular sign whose radius is 6 feet, is 3 times the are [#permalink]

Show Tags

New post 26 Nov 2017, 11:21
1
This post received
KUDOS
Expert's post
Top Contributor
LakerFan24 wrote:
The area of a circular sign whose radius is 6 feet, is 3 times the area of a rectangular sign whose length is twice its width. What is the length, in feet, of the rectangular sign?

A) \(\sqrt{6\pi}\)

B) 3\(\sqrt{\pi}\)

C) 2\(\sqrt{6\pi}\)

D) 6\(\sqrt{\pi}\)

E) 12\(\sqrt{\pi}\)


Area of a circular sign whose radius is 6 feet
Area = π(radius)²
= π(6)²
= 36π

Area of a rectangular sign whose length is twice its width.
Let x = width
So, 2x = length
Area of rectangle = (length)(width)
= (2x)(x)
= 2x²

Area of a circular sign is 3 times the area of a rectangular sign.
Area of a circular sign = 3(area of a rectangular sign)
36π = 3(2x²)
Simplify right side: 36π = 6x²
Divide both sides by 6 to get: 6π = x²
So, x = √(6π)
In other words, the width = √(6π) feet
Since the length is TWICE the width, the length = 2√(6π) feet
Answer: C

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Kudos [?]: 2750 [1], given: 364

Re: The area of a circular sign whose radius is 6 feet, is 3 times the are   [#permalink] 26 Nov 2017, 11:21
Display posts from previous: Sort by

The area of a circular sign whose radius is 6 feet, is 3 times the are

  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®.