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

 It is currently 14 Dec 2019, 21:33

### 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 figure above consists of an isosceles triangle and 7 semicircles,

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59725
The figure above consists of an isosceles triangle and 7 semicircles,  [#permalink]

### Show Tags

28 Nov 2017, 21:21
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:01) correct 16% (01:03) wrong based on 45 sessions

### HideShow timer Statistics

The figure above consists of an isosceles triangle and 7 semicircles, each having the same diameter. If the perimeter of the triangle is 28, what is the radius of one of the semicircles?

(A) 1
(B) 2
(C) 4
(D) 6
(E) 7

Attachment:

2017-11-29_0807_001.png [ 27.25 KiB | Viewed 884 times ]

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 305
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: The figure above consists of an isosceles triangle and 7 semicircles,  [#permalink]

### Show Tags

28 Nov 2017, 21:23
B

Let d be the diameter of the semicircle.
We have 7d=28.
Hence d=4

Sent from my iPhone using GMAT Club Forum
Intern
Joined: 07 Feb 2017
Posts: 16
Location: India
Concentration: Operations, Operations
GMAT 1: 610 Q48 V26
GMAT 2: 640 Q47 V30
GPA: 3.7
WE: Engineering (Manufacturing)
Re: The figure above consists of an isosceles triangle and 7 semicircles,  [#permalink]

### Show Tags

28 Nov 2017, 22:22
let us take the 2 equal sides to be = x .
let us take the unequal side = y=diameter of the circle(from the figure)
given : perimeter=28.
i.e 2x+y=28.......(i)
from the figure and given information,
3y=x...........(ii)

substituting equation (ii) in equation (i).

7y=28. this is implies that y=4
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8701
Location: United States (CA)
Re: The figure above consists of an isosceles triangle and 7 semicircles,  [#permalink]

### Show Tags

01 Dec 2017, 07:54
Bunuel wrote:

The figure above consists of an isosceles triangle and 7 semicircles, each having the same diameter. If the perimeter of the triangle is 28, what is the radius of one of the semicircles?

(A) 1
(B) 2
(C) 4
(D) 6
(E) 7

Attachment:
2017-11-29_0807_001.png

We see that the perimeter of the triangle is equivalent to 7 diameters; thus, each diameter must be equal to 4, so the radius of any one of the circles is 2.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 13736
Re: The figure above consists of an isosceles triangle and 7 semicircles,  [#permalink]

### Show Tags

08 Jan 2019, 04:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: The figure above consists of an isosceles triangle and 7 semicircles,   [#permalink] 08 Jan 2019, 04:51
Display posts from previous: Sort by