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Does rectangle A have a greater perimeter than rectangle B?

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CEO
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Does rectangle A have a greater perimeter than rectangle B?  [#permalink] New post 11 Oct 2003, 09:07
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A
B
C
D
E

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Does rectangle A have a greater perimeter than rectangle B?

(1) The length of a side of rectangle A is twice the length of a
side of rectangle B.

(2) The area of rectangle A is twice the area of rectangle B.
Intern
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 [#permalink] New post 11 Oct 2003, 11:11
Length- La
Breadth-Ba
Area -Aa

Length- Lb
Breadth-Bb
Area -Ab

given

la=2lb
Aa=2Ab

lb*Bb=Ab/2lb*Ba=2Ab

gives Ba=Bb

hnec s by we need both to to give teh answer
choice ......C
SVP
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 [#permalink] New post 01 Jan 2004, 14:11
I believe the answer should be B. Rectangle A encloses rectangle B, so perimeter of A has to be more than B
Senior Manager
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 [#permalink] New post 01 Jan 2004, 17:56
anant wrote:
Length- La
Breadth-Ba
Area -Aa

Length- Lb
Breadth-Bb
Area -Ab

given

la=2lb
Aa=2Ab

lb*Bb=Ab/2lb*Ba=2Ab

gives Ba=Bb

hnec s by we need both to to give teh answer
choice ......C


I understand this solution. But can we not assume when the area is higher the perimeter will also be higher. If we pick numbers for length and breadth we should get B as answer.
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 [#permalink] New post 01 Jan 2004, 20:03
Hi Geethu,

What are you saying. I tried picking numbers and I always get perimeter of A to be greater than that of B. I will try to to prove it mathematically later. Are with you answer B or not.
Intern
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 [#permalink] New post 01 Jan 2004, 22:51
[quote="anandnk"]Hi Geethu,

What are you saying. I tried picking numbers and I always get perimeter of A to be greater than that of B. I will try to to prove it mathematically later. Are with you answer B or not.[/quote]

Hey Anand,

Try 50 * 50 for A

and 1250 * 1 for B.

Area of A is 2500 and Area of B is 1250.
Perimeter of A is 200 and perimeter of B is 2502

Hence B can't be the answer.
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 [#permalink] New post 01 Jan 2004, 23:44
Hmm. I guess I ran out of proper numbers. Good example indeed. Now I can see why C is correct.
  [#permalink] 01 Jan 2004, 23:44
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Does rectangle A have a greater perimeter than rectangle B?

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