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

 It is currently 21 Oct 2018, 03:59

### 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

# If, in the figure above, arc BF is a semicircle having radius 12, and

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50007
If, in the figure above, arc BF is a semicircle having radius 12, and  [#permalink]

### Show Tags

20 Nov 2017, 23:19
00:00

Difficulty:

(N/A)

Question Stats:

56% (02:19) correct 44% (02:13) wrong based on 25 sessions

### HideShow timer Statistics

If, in the figure above, arc BF is a semicircle having radius 12, and C is a point, not shown, on arc BFs, which of the following gives all possible values of the perimeter P of pentagon ABCDE?

(A) 32 < P < 56
(B) 32 < P < 44
(C) 32 < P < 32 + 12√2
(D) P = 44
(E) P = 32

Attachment:

2017-11-21_1004_002.png [ 5.54 KiB | Viewed 480 times ]

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 322
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: If, in the figure above, arc BF is a semicircle having radius 12, and  [#permalink]

### Show Tags

20 Nov 2017, 23:29
Option A

Let’s says that the point C lies in the right side of the point D. In this case the maximum value of P is 12+24+4+12+4=56
Similarly if the point C lies on the left hand side of the point D the minimum value of P is 12+12+4+12+4=32
Hence 32<P<56

Sent from my iPhone using GMAT Club Forum
_________________

Help with kudos if u found the post useful. Thanks

Senior Manager
Joined: 31 Jul 2017
Posts: 477
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If, in the figure above, arc BF is a semicircle having radius 12, and  [#permalink]

### Show Tags

20 Nov 2017, 23:36
2
Bunuel wrote:

If, in the figure above, arc BF is a semicircle having radius 12, and C is a point, not shown, on arc BFs, which of the following gives all possible values of the perimeter P of pentagon ABCDE?

(A) 32 < P < 56
(B) 32 < P < 44
(C) 32 < P < 32 + 12√2
(D) P = 44
(E) P = 32

Attachment:
2017-11-21_1004_002.png

For the minimum Range Point C should lie Close to B and for Maximum Range Point C should lie close to F.

32 < P < 56
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Re: If, in the figure above, arc BF is a semicircle having radius 12, and &nbs [#permalink] 20 Nov 2017, 23:36
Display posts from previous: Sort by