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Is the value of the perimeter of rectangle R greater than

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Is the value of the perimeter of rectangle R greater than [#permalink] New post 19 Jun 2011, 22:20
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Is the value of the perimeter of rectangle R greater than the value of its area?

(1) The width of rectangle R is 2 inches.

(2) The area of rectangle R is 200 square inches.
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Re: Geometry DS [#permalink] New post 20 Jun 2011, 03:32
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guygmat wrote:
Is the value of the perimeter of rectangle R greater than the value of its area?

(1) The width of rectangle R is 2 inches.

(2) The area of rectangle R is 200 square inches.


stmnt1 -
area = l*w = 2l
perimeter = 2[l+w] = 2l + 4. So perimeter is always greater than Area. hence Suff

stmnt2-
Area= l*w = 200
here l can be 20 and w= 10 giving perimeter as 2(20+10) = 60. So perimeter is less than Area

now lets consider l = 200 and w=1 giving Area = 200 and perimeter as 2(100+1) = 202. So perimeter value is greater than Area value.
No single answer. hence insuff

Ans A
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Re: Is the value of the perimeter of rectangle R greater than [#permalink] New post 20 Jul 2013, 04:48
Really Tricky! good question...
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Re: Is the value of the perimeter of rectangle R greater than [#permalink] New post 20 Jul 2013, 05:26
Expert's post
Is the value of the perimeter of rectangle R greater than the value of its area?

Is 2(L+W)>LW ?

(1) The width of rectangle R is 2 inches --> W=2. The question becomes: is 2(L+2)>2L? --> is 2>0? The answer is YES. Sufficient.

(2) The area of rectangle R is 200 square inches --> LW=200. The question becomes: is 2(L+W)>200? --> is L+W>100. We don't know that. Not sufficient.

Answer: A.
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Re: Is the value of the perimeter of rectangle R greater than   [#permalink] 20 Jul 2013, 05:26
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