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

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If p is the perimeter of rectangle Q, what is the value of [#permalink]

13 Nov 2005, 10:41

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If p is the perimeter of rectangle Q, what is the value of p?
1) Each diagonal of rectangle Q has length 10.

2) The area of rectangle Q is 48

Just a question...if we know that it's a right triangle and the length of hypotenuse...can't we assume it's 6-8-10 right triangle right off the bat???

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13 Nov 2005, 10:51

I would say c

well A just tells us that rectangular is symetrical...but the sides could be any variable...say

x and y are the two sides then...x^2+Y^2=100....x^2 could be 50, or it could be 10...or 25...we dont know...

(2) just tells the area we dont know what the length are.

combining...well I think that should be sufficient...

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13 Nov 2005, 11:05

let x,y be side

given: x^2 + y^2 = 100
xy = 48

we can get:
(x+y)^2 = 100 + 96 = 196
(x+y) = 14

(x-y)^2 = 100 - 96 = 4
(x-y) = 2

we can find x,y and then perimeter 2(x+y)
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Re: DS - Perimeter of rectangle (OG11th, D48) [#permalink]

13 Nov 2005, 12:52

omomo wrote:

Hmmm, I think the definition of a rectangle states that "a four-sided figure with opposite sides of equal length and all its angles right angles". So a rectangle here could also mean a square. So we cannot assume its a 6-8-10 right triangle. The sides could be 10/sqrt2 as well.

So with that being said...(1) is insufficient.

(2) Let x and y be the sides of the rectangle. xy=48. Insufficient. As x and y could be sqrt 48.

(1) and (2) together, x^2 + y^2 = 10^2, and xy = 48

x and y are 6 or 8, since we are asked for 2(x+y), we could solve for the perimeter.

Answer is C.

Re: DS - Perimeter of rectangle (OG11th, D48) [#permalink] 13 Nov 2005, 12:52

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

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

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