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Math Expert V
Joined: 02 Sep 2009
Posts: 56244
In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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1 00:00

Difficulty:   15% (low)

Question Stats: 84% (01:13) correct 16% (01:13) wrong based on 42 sessions

### HideShow timer Statistics  In the figure above, ABCD and CEFG are squares. If the area of CEFG is 36, what is the area of ABCD?

A. 6

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

C. 9

D. 18

E. 24

Attachment: 2019-01-10_1348.png [ 18.87 KiB | Viewed 676 times ]

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Manager  B
Joined: 01 May 2017
Posts: 82
Location: India
Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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In the figure above, ABCD and CEFG are squares. If the area of CEFG is 36, what is the area of ABCD?

area of CEFG is 36, implies S^2 = 36
S = 6
triangle CDE is right angled isosceles triangle, Since CE (S) = 6 implies CD and DE = $$3\sqrt{2}$$ (from Pythagorean theorem)
area of ABCD = $$s^2 = (3\sqrt{2})^2$$ = 18

Option D is correct
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 4232
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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Bunuel wrote: In the figure above, ABCD and CEFG are squares. If the area of CEFG is 36, what is the area of ABCD?

A. 6

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

C. 9

D. 18

E. 24

Attachment:
2019-01-10_1348.png

side of CEFG = 6
45:45:90
x:x:xsqrt2
x sqrt2 = 6
x= 3 sqrt 2
area = (3 sqrt 2)^2 = 18 IMO D
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Director  V
Joined: 27 May 2012
Posts: 813
Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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1
Bunuel wrote: In the figure above, ABCD and CEFG are squares. If the area of CEFG is 36, what is the area of ABCD?

A. 6

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

C. 9

D. 18

E. 24

Attachment:
2019-01-10_1348.png

Dear Moderator,
The image in this question is not visible perhaps due to some technical issues, hope you will do the needful. Thank you.
_________________
- Stne
Math Expert V
Joined: 02 Sep 2009
Posts: 56244
Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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stne wrote:
Bunuel wrote: In the figure above, ABCD and CEFG are squares. If the area of CEFG is 36, what is the area of ABCD?

A. 6

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

C. 9

D. 18

E. 24

Attachment:
2019-01-10_1348.png

Dear Moderator,
The image in this question is not visible perhaps due to some technical issues, hope you will do the needful. Thank you.

_________________
Fixed that. Thank you.
_________________ Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is   [#permalink] 26 Jan 2019, 00:53
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# In the figure above, ABCD and CEFG are squares. If the area of CEFG is  