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In the figure, what is the area of ∆ABC if EC/CD = 3 ?
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23 Mar 2019, 08:52
23 Mar 2019, 08:52
Expert Reply
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Question Stats:
90% (02:11) correct
9% (02:54) wrong based on 11 sessions
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Attachment:
#GREpracticequestion In the figure, what is the area.jpg [ 18.75 KiB | Viewed 3914 times ]
In the figure, what is the area of \(∆ABC\) if \(\frac{EC}{CD} = 3\) ?
(A) 12
(B) 24
(C) 81
(D) 121.5
(E) 143
Re: In the figure, what is the area of ∆ABC if EC/CD = 3 ?
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23 Mar 2019, 19:24
23 Mar 2019, 19:24
1
Carcass wrote:
Attachment:
#GREpracticequestion In the figure, what is the area.jpg
In the figure, what is the area of \(∆ABC\) if \(\frac{EC}{CD} = 3\) ?
(A) 12
(B) 24
(C) 81
(D) 121.5
(E) 143
From the question:
CD will be 4; similar triangles are CDE and CBA;
CD/CB= CE/CA = 4/9 = 12 / (4+x)
It will give CA as 27; Area is 1/2 * (27*9) = 121.5
gmatclubot
Re: In the figure, what is the area of ∆ABC if EC/CD = 3 ? [#permalink]
23 Mar 2019, 19:24
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