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In the xy-plane, there is a rectangle ABCO shown as the above figure.
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MathRevolution
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In the xy-plane, there is a rectangle ABCO shown as the above figure. [#permalink] New post  06 Apr 2017, 00:08
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In the xy-plane, there is a rectangle ABCO shown as the above figure. What is the perimeter of the rectangle?

1) OB=5
2) B(3,4)
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Re: In the xy-plane, there is a rectangle ABCO shown as the above figure. [#permalink] New post  06 Apr 2017, 08:53
OB = 5, this can be any point with a length of 5 from point O. - Insufficent.

B(3,4) = Clearly sufficient to get the points of A and C, thus perimeter can be found. - Sufficient

Option B
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Re: In the xy-plane, there is a rectangle ABCO shown as the above figure. [#permalink] New post  09 Apr 2017, 17:33
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==> If you modify the original condition and the question, the quadrilateral ABCD is a rectangle, so in order to find the perimeter, you only need to know B, hence con 2) is sufficient.

Therefore, the answer is B.
Answer: B
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Re: In the xy-plane, there is a rectangle ABCO shown as the above figure. [#permalink] New post  09 Apr 2017, 19:49
Why is not A sufficient?. Given B is a point and O the origin will the diagonal length not be 5? And can't we calculate the sides of the rectangle from the diagonal? Can someone pls explain.


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Re: In the xy-plane, there is a rectangle ABCO shown as the above figure. [#permalink] New post  09 Apr 2017, 21:12
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mcmoorthy wrote:
Why is not A sufficient?. Given B is a point and O the origin will the diagonal length not be 5? And can't we calculate the sides of the rectangle from the diagonal? Can someone pls explain.


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You can not find the area of a rectangle just knowing the length of its diagonal. Area of a rectangle is length*width and knowing the length of diagonal is not enough to calculate these values. In other words knowing the length of hypotenuse (diagonal) in a right triangle (created by length and width), is not enough to find the legs of it (length and width).
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Re: In the xy-plane, there is a rectangle ABCO shown as the above figure. [#permalink] New post  Updated on: 09 Apr 2017, 22:23
Thanks Bunuel. Got it.

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Originally posted by mcmoorthy on 09 Apr 2017, 22:23.
Last edited by mcmoorthy on 09 Apr 2017, 22:23, edited 1 time in total.
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Re: In the xy-plane, there is a rectangle ABCO shown as the above figure. [#permalink]
09 Apr 2017, 22:23
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