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The figure above is a square. What is its area?

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V
Joined: 02 Sep 2009
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The figure above is a square. What is its area? [#permalink]

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New post 26 Sep 2017, 23:26
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A
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C
D
E

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Image
The figure above is a square. What is its area?

(A) 9
(B) 4
(C) 1
(D) 1/4
(E) cannot be determined

[Reveal] Spoiler:
Attachment:
2017-09-27_1016.png
2017-09-27_1016.png [ 1.99 KiB | Viewed 343 times ]
[Reveal] Spoiler: OA

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Re: The figure above is a square. What is its area? [#permalink]

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New post 26 Sep 2017, 23:54
Bunuel wrote:
Image
The figure above is a square. What is its area?

(A) 9
(B) 4
(C) 1
(D) 1/4
(E) cannot be determined

[Reveal] Spoiler:
Attachment:
2017-09-27_1016.png


as it is a square \(3x-1=x\)

or \(x=\frac{1}{2}\)

Hence area \(= x^2 =\frac{1}{4}\)

Option D

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Joined: 06 Aug 2017
Posts: 72

Kudos [?]: 13 [0], given: 27

GMAT 1: 610 Q48 V24
Re: The figure above is a square. What is its area? [#permalink]

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New post 26 Sep 2017, 23:55
Bunuel wrote:
Image
The figure above is a square. What is its area?

(A) 9
(B) 4
(C) 1
(D) 1/4
(E) cannot be determined

[Reveal] Spoiler:
Attachment:
2017-09-27_1016.png


The answer should be D as follows.

The two sides given are x and 3x-1.
since the figure is a squire, both the sides should be equal in length ==> x=3x-1 ==>2x=1 ==>\(x=\frac{1}{2}\)
Area of the squire = \(side^2\) ==> \(x^2\) ==> \((\frac{1}{2})^2\) ==>\(\frac{1}{4}\)

Hence answer is D (\(\frac{1}{4}\))
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Kudos [?]: 13 [0], given: 27

Re: The figure above is a square. What is its area?   [#permalink] 26 Sep 2017, 23:55
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