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

 It is currently 16 Oct 2019, 10:43

### 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

# In the figure above, the two circles are tangent to each other and eac

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58381
In the figure above, the two circles are tangent to each other and eac  [#permalink]

### Show Tags

08 Mar 2019, 02:29
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:54) correct 15% (01:17) wrong based on 20 sessions

### HideShow timer Statistics

In the figure above, the two circles are tangent to each other and each circle is tangent to three sides of rectangle PQRS. If the area of PQRS is 72, what is the radius of each of the circles?

A. 3

B. $$3\sqrt{2}$$

C. $$3\sqrt{3}$$

D. 6

E. $$6\sqrt{2}$$

Attachment:

image024.jpg [ 3.79 KiB | Viewed 340 times ]

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1022
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: In the figure above, the two circles are tangent to each other and eac  [#permalink]

### Show Tags

08 Mar 2019, 02:32
PS*RS = 72
Also, PS = 4*radius and RS = 2*radius.
$$8*{radius}^2 = 72$$

A is the answer.
_________________
Press +1 Kudos If my post helps!
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the figure above, the two circles are tangent to each other and eac  [#permalink]

### Show Tags

08 Mar 2019, 04:13
Bunuel wrote:

In the figure above, the two circles are tangent to each other and each circle is tangent to three sides of rectangle PQRS. If the area of PQRS is 72, what is the radius of each of the circles?

A. 3

B. $$3\sqrt{2}$$

C. $$3\sqrt{3}$$

D. 6

E. $$6\sqrt{2}$$

Attachment:
image024.jpg

72 = 2^3*3^2
length = 4* radius
and width = 2 * radius
or
8*radius ^2 = 72
IMO A
Re: In the figure above, the two circles are tangent to each other and eac   [#permalink] 08 Mar 2019, 04:13
Display posts from previous: Sort by

# In the figure above, the two circles are tangent to each other and eac

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

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