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

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

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10 Jan 2019, 02:51
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84% (01:13) correct 16% (01:13) wrong based on 42 sessions

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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?

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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Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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10 Jan 2019, 06:19
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
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Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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10 Jan 2019, 07:14
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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Re: In the figure above, ABCD and CEFG are squares. If the area of CEFG is  [#permalink]

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26 Jan 2019, 00:36
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.
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- Stne
Math Expert
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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26 Jan 2019, 00:53
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.
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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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