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Is the area of a certain square greater than the area of a c

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Is the area of a certain square greater than the area of a c  [#permalink]

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New post 23 Feb 2014, 09:23
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Is the area of a certain square greater than the area of a certain rectangle?

(1) A side of the rectangle equals to a side of the square.
(2) A side of the rectangle is twice longer than a side of the square.

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Re: Is the area of a certain square greater than the area of a c  [#permalink]

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New post 23 Feb 2014, 10:37
1
Is the area of a certain square greater than the area of a certain rectangle?

(1) A side of the rectangle equals to a side of the square.

If the longer side (length) of the rectangle is equal to the side of the square, then the area of the square is greater.
If the shorter side (width) of the rectangle is equal to the side of the square, then the area of the rectangle is greater.

Not sufficient.

(2) A side of the rectangle is twice longer than a side of the square.

If the other side of the rectangle is shorter than 1/2 of the side of the square, then the area of the square is greater.
If the other side of the rectangle is longer as well , then the area of the rectangle is greater.

Not sufficient.

(1)+(2) The shorter side (width) of the rectangle is equal to the side of the square and the longer side (length) of the rectangle is twice longer than the side of the square, therefore the area of the rectangle is greater. Sufficient.

Answer: C.

Hope it's clear.
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Re: Is the area of a certain square greater than the area of a c  [#permalink]

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New post 23 Feb 2016, 07:19
Bunuel wrote:
Is the area of a certain square greater than the area of a certain rectangle?

(1) A side of the rectangle equals to a side of the square.

If the longer side (length) of the rectangle is equal to the side of the square, then the area of the square is greater.
If the shorter side (width) of the rectangle is equal to the side of the square, then the area of the rectangle is greater.

Not sufficient.

(2) A side of the rectangle is twice longer than a side of the square.

If the other side of the rectangle is shorter than 1/2 of the side of the square, then the area of the square is greater.
If the other side of the rectangle is longer as well , then the area of the rectangle is greater.

Not sufficient.

(1)+(2) The shorter side (width) of the rectangle is equal to the side of the square and the longer side (length) of the rectangle is twice longer than the side of the square, therefore the area of the rectangle is greater. Sufficient.

Answer: C.

Hope it's clear.



I thought the question is " Is the area of the square is greater than the area of the rectangle?"
Correct me if I'm wrong.
Thanks,
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Re: Is the area of a certain square greater than the area of a c  [#permalink]

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New post 23 Feb 2016, 07:31
zizinovember wrote:
Bunuel wrote:
Is the area of a certain square greater than the area of a certain rectangle?

(1) A side of the rectangle equals to a side of the square.

If the longer side (length) of the rectangle is equal to the side of the square, then the area of the square is greater.
If the shorter side (width) of the rectangle is equal to the side of the square, then the area of the rectangle is greater.

Not sufficient.

(2) A side of the rectangle is twice longer than a side of the square.

If the other side of the rectangle is shorter than 1/2 of the side of the square, then the area of the square is greater.
If the other side of the rectangle is longer as well , then the area of the rectangle is greater.

Not sufficient.

(1)+(2) The shorter side (width) of the rectangle is equal to the side of the square and the longer side (length) of the rectangle is twice longer than the side of the square, therefore the area of the rectangle is greater. Sufficient.

Answer: C.

Hope it's clear.



I thought the question is " Is the area of the square is greater than the area of the rectangle?"
Correct me if I'm wrong.
Thanks,


That is the correct interpretation. Why do you think there is an issue with the solution provided here?
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Re: Is the area of a certain square greater than the area of a c  [#permalink]

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New post 22 Dec 2018, 16:21
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Re: Is the area of a certain square greater than the area of a c   [#permalink] 22 Dec 2018, 16:21
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