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Does rectangle A have a greater perimeter than rectangle B?

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Director
Joined: 17 Oct 2005
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Does rectangle A have a greater perimeter than rectangle B? [#permalink]  04 Nov 2005, 11:16
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Does rectangle A have a greater perimeter than rectangle B?

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

2) The area of rectangle A is twice the area of rectangle B

Is there any way to do this problem without pluggin in numbers?
Manager
Joined: 17 Sep 2005
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Location: California
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I have seen this one on the forum a few weeks back.

Q: 2(L+B) > 2(l+b)
or L+B > l+b ?

1) L=2l
=> 2l+B > l+b?
NOT SUFF => BCE

2) LB=2lb
NOT SUFF to eval L+B > l+b => CE

1+2) Sub L=2l in LB=2lb we get B=b
so L+B=2l+b which is clearly >than l+b
SUFF => C
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