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

 It is currently 17 Aug 2018, 06:03

### 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, rectangle ABCD is attached to semicircle CFD. If

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47967
In the figure above, rectangle ABCD is attached to semicircle CFD. If  [#permalink]

### Show Tags

18 Nov 2015, 23:58
00:00

Difficulty:

5% (low)

Question Stats:

97% (01:38) correct 3% (00:34) wrong based on 63 sessions

### HideShow timer Statistics

In the figure above, rectangle ABCD is attached to semicircle CFD. If CE = ED, $$AC = 6\sqrt{2}$$ and EF = 3, what is the area of the figure ABCFD?

A. $$36 + \frac{9\pi}{2}$$

B. $$36 + \frac{3\pi}{2}$$

C. $$36 + 3\pi$$

D. $$12+ \frac{3\pi}{2}$$

E. $$12+ \frac{9\pi}{2}$$

Attachment:

Untitled.png [ 1.71 KiB | Viewed 1075 times ]

_________________
Intern
Joined: 15 Nov 2013
Posts: 1
Re: In the figure above, rectangle ABCD is attached to semicircle CFD. If  [#permalink]

### Show Tags

19 Nov 2015, 00:19
CD = 6
AC = 6root2
Area of ABCD = 6 * 6= 36
Area of semi circle = πr^2/2 = π*9/2
Total area of ABCFD = 36 + π*9/2
Manager
Status: Studying Quant
Joined: 04 Sep 2017
Posts: 65
GPA: 3.6
WE: Sales (Computer Software)
In the figure above, rectangle ABCD is attached to semicircle CFD. If  [#permalink]

### Show Tags

28 Jul 2018, 09:08
Bunuel wrote:

In the figure above, rectangle ABCD is attached to semicircle CFD. If CE = ED, $$AC = 6\sqrt{2}$$ and EF = 3, what is the area of the figure ABCFD?

A. $$36 + \frac{9\pi}{2}$$

B. $$36 + \frac{3\pi}{2}$$

C. $$36 + 3\pi$$

D. $$12+ \frac{3\pi}{2}$$

E. $$12+ \frac{9\pi}{2}$$

Attachment:
Untitled.png

So would it be fair to say that ABCD is actually a square since AD=CD?
_________________

Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.

Math Expert
Joined: 02 Aug 2009
Posts: 6539
Re: In the figure above, rectangle ABCD is attached to semicircle CFD. If  [#permalink]

### Show Tags

28 Jul 2018, 09:19
MikeScarn wrote:
Bunuel wrote:

In the figure above, rectangle ABCD is attached to semicircle CFD. If CE = ED, $$AC = 6\sqrt{2}$$ and EF = 3, what is the area of the figure ABCFD?

A. $$36 + \frac{9\pi}{2}$$

B. $$36 + \frac{3\pi}{2}$$

C. $$36 + 3\pi$$

D. $$12+ \frac{3\pi}{2}$$

E. $$12+ \frac{9\pi}{2}$$

Attachment:
Untitled.png

So would it be fair to say that ABCD is actually a square since AD=CD?

Yes, you are correct..
Since CD is twice the radius =2*3=6 and hypotenuse=6√2
So third side =√{(6√2)^2-6^2}=√{72-36}=√36=6
As you have said sides are equal
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Manager
Status: Studying Quant
Joined: 04 Sep 2017
Posts: 65
GPA: 3.6
WE: Sales (Computer Software)
Re: In the figure above, rectangle ABCD is attached to semicircle CFD. If  [#permalink]

### Show Tags

28 Jul 2018, 09:37
chetan2u Cool, thanks buddy.
_________________

Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.

Re: In the figure above, rectangle ABCD is attached to semicircle CFD. If &nbs [#permalink] 28 Jul 2018, 09:37
Display posts from previous: Sort by

# Events & Promotions

 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®.