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If p is the perimeter of rectangle X, what is the value of

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If p is the perimeter of rectangle X, what is the value of [#permalink] New post 02 Nov 2011, 11:11
Hi Everyone!
Pls, help me to understand why an answer "A" doesn't work for the following problem

If p is the perimeter of rectangle X,
what is the value of p?
1. Each diagonal of X has a length of 5
2. The area of X is 12



Why doesn't 3-4-5 rule aplicable here?

Thanks in advance
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Re: Right triangle rule [#permalink] New post 02 Nov 2011, 13:22
Imagine a square with diagonals = 1 and some perimeter, than virtually make this square almost flat rectangle. Is perimeter seems the same? So knowing only diagonals you can't be sure about perimeter.
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Re: Right triangle rule [#permalink] New post 02 Nov 2011, 14:48
3-4-5 rules doesn't apply because you only have the 5. You can only use 3-4-5 rules on a right triangle with two known sides.
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Re: Right triangle rule [#permalink] New post 02 Nov 2011, 23:49
Thanks a lot! That's very clear a logical now :)
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Re: Right triangle rule [#permalink] New post 03 Nov 2011, 02:28
Expert's post
gnothobiot wrote:
Hi Everyone!
Pls, help me to understand why an answer "A" doesn't work for the following problem

If p is the perimeter of rectangle X,
what is the value of p?
1. Each diagonal of X has a length of 5
2. The area of X is 12



Why doesn't 3-4-5 rule aplicable here?

Thanks in advance


3-4-5 is not the only way in which you get a 5 in the hypotenuse. But it is the only way in which all sides are integers with 5 as the hypotenuse. (Pythagorean triplets give you all integer sides.)

There are many other ways of getting 5 e.g.
1, \sqrt{24}, 5
2, \sqrt{21}, 5
etc
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Re: Right triangle rule [#permalink] New post 03 Nov 2011, 05:42
Thanks for the explanation.
Re: Right triangle rule   [#permalink] 03 Nov 2011, 05:42
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