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

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Math Expert
Joined: 02 Sep 2009
Posts: 49206
The figure above is a square. What is its area?  [#permalink]

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26 Sep 2017, 23:26
1
00:00

Difficulty:

15% (low)

Question Stats:

80% (00:18) correct 20% (00:11) wrong based on 45 sessions

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

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

Attachment:

2017-09-27_1016.png [ 1.99 KiB | Viewed 609 times ]

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

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26 Sep 2017, 23:54
Bunuel wrote:

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

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

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

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26 Sep 2017, 23:55
Bunuel wrote:

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

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

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