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# What is the area of ABCDE?

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SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1723
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
What is the area of ABCDE?  [#permalink]

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25 Mar 2015, 01:32
00:00

Difficulty:

25% (medium)

Question Stats:

89% (02:00) correct 11% (03:06) wrong based on 14 sessions

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area.PNG [ 4.7 KiB | Viewed 1345 times ]

What is the area of ABCDE?

A. 108
B. 126
C. $$144 - 6\sqrt{3}$$
D. $$144 - 18\sqrt{3}$$
E. $$144 - 36\sqrt{3}$$
Math Expert
Joined: 02 Aug 2009
Posts: 8336
Re: What is the area of ABCDE?  [#permalink]

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25 Mar 2015, 08:00
PareshGmat wrote:
Attachment:
The attachment area.PNG is no longer available

What is the area of ABCDE?

A. 108
B. 126
C. $$144 - 6\sqrt{3}$$
D. $$144 - 18\sqrt{3}$$
E. $$144 - 36\sqrt{3}$$

hi,

it can be made a very simple Q by joining A and D..(see tha att sketch)
we thus make an equilateral triangle with sides 12..
area of ABCDE= area of square ABCD-area of equilateral triangle ADE..
= $$12^2-\sqrt{3}*12^2/4$$= $$144 - 36\sqrt{3}$$
ans E...
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New Microsoft Office Word Document (5).docx [15.78 KiB]

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Re: What is the area of ABCDE?   [#permalink] 25 Mar 2015, 08:00
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