NEW HERE? LEARN MORE
closeclose
Last visit was: 28 Apr 2024, 21:40 It is currently 28 Apr 2024, 21:40
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In the figure above, what is the area of semicircle DPA?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92977
Own Kudos [?]: 619758 [10]
Given Kudos: 81613
Send PM
CAT Tests Forum Quiz Mode
In the figure above, what is the area of semicircle DPA? [#permalink] New post   07 Dec 2020, 01:15
9
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

29% (01:30) correct 71% (01:35) wrong based on 144 sessions
Hide Show timer Statistics

In the figure above, what is the area of semicircle DPA?

(1) The area of quadrilateral ABCD is 140.
(2) The length of the line segment whose endpoints are B and D is 25.


Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here


Show Spoiler
Attachment:
1.jpg
1.jpg [ 32.77 KiB | Viewed 2646 times ]
ShowHide Answer
Official Answer
B
User avatar
P
carouselambra
Current Student
Joined: 14 Mar 2018
Posts: 318
Own Kudos [?]: 441 [0]
Given Kudos: 43
Send PM
Re: In the figure above, what is the area of semicircle DPA? [#permalink] New post   07 Dec 2020, 04:55
IMO D

We somehow need to find the diameter or radius of the semi-circle so that we can find the area.

(1) The area of quadrilateral ABCD is 140.
16*7=112 will give us the area of the square carved within the quadrilateral ABCD .
Since we know that remaining area of triangle will be 140-112 = 28, we can easily find the measurement of the diameter using the formula of area of triangle.

1/2*(b)*7=28
b=8
So, diameter of semi-circle will be 16+8=24
Hence we can find the area of semi-circle.
(A) is sufficient

(2) The length of the line segment whose endpoints are B and D is 25.
Using pythagoras theorem, the diameter of semi-circle can be found. This will be 24.

Hence, (B) is sufficient.
avatar
G
Deepakjhamb
Manager
Manager
Joined: 29 Mar 2020
Posts: 226
Own Kudos [?]: 126 [1]
Given Kudos: 14
Location: India
Concentration: General Management, Leadership
Schools: HBS '22 IIMA PGPX'22
GPA: 3.96
WE:Business Development (Telecommunications)
Send PM
Re: In the figure above, what is the area of semicircle DPA? [#permalink] New post   07 Dec 2020, 05:06
1
Kudos
Dear but how do you know BC parallel to AD . So A is insufficient so answer must be B

Posted from my mobile device
User avatar
P
carouselambra
Current Student
Joined: 14 Mar 2018
Posts: 318
Own Kudos [?]: 441 [0]
Given Kudos: 43
Send PM
Re: In the figure above, what is the area of semicircle DPA? [#permalink] New post   07 Dec 2020, 05:10
Deepakjhamb wrote:
Dear but how do you know BC parallel to AD . So A is insufficient so answer must be B

Posted from my mobile device


Measure of Angle A is 90?
Correct me if I am wrong.
avatar
G
Deepakjhamb
Manager
Manager
Joined: 29 Mar 2020
Posts: 226
Own Kudos [?]: 126 [1]
Given Kudos: 14
Location: India
Concentration: General Management, Leadership
Schools: HBS '22 IIMA PGPX'22
GPA: 3.96
WE:Business Development (Telecommunications)
Send PM
Re: In the figure above, what is the area of semicircle DPA? [#permalink] New post   07 Dec 2020, 05:12
1
Kudos
But who says angle b is 90

Posted from my mobile device
User avatar
P
carouselambra
Current Student
Joined: 14 Mar 2018
Posts: 318
Own Kudos [?]: 441 [0]
Given Kudos: 43
Send PM
Re: In the figure above, what is the area of semicircle DPA? [#permalink] New post   07 Dec 2020, 06:15
Deepakjhamb wrote:
But who says angle b is 90

Posted from my mobile device


Oh yes you have got a point. :)
Initially I chose (B) but looks like I presume a lot.
User avatar
D
exc4libur
SVP
SVP
Joined: 24 Nov 2016
Posts: 1720
Own Kudos [?]: 1344 [0]
Given Kudos: 607
Location: United States
Send PM
Re: In the figure above, what is the area of semicircle DPA? [#permalink] New post   08 Dec 2020, 06:04
Bunuel wrote:

In the figure above, what is the area of semicircle DPA?

(1) The area of quadrilateral ABCD is 140.
(2) The length of the line segment whose endpoints are B and D is 25.


(1) insufi
we dont know if the quad is trapezoid

(2) sufic
since the other sides with the diagonal form a right triangle, we can find out the diameter

(B)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32728
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: In the figure above, what is the area of semicircle DPA? [#permalink] New post   20 Jan 2022, 19:29
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.
GMAT Club Bot
gmatclubot
Re: In the figure above, what is the area of semicircle DPA? [#permalink]
20 Jan 2022, 19:29
Moderator:
Bunuel
Math Expert
92977 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions