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What is the area of ABCDE?

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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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New post 25 Mar 2015, 01:32
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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Attachment:
area.PNG
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. \(144 - 36\sqrt{3}\)
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Joined: 02 Aug 2009
Posts: 8336
Re: What is the area of ABCDE?  [#permalink]

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