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# The area of a square garden is A square feet and the

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Manager
Joined: 08 Feb 2006
Posts: 128
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The area of a square garden is A square feet and the [#permalink]  19 Apr 2006, 20:50
The area of a square garden is A square feet and the perimeter is P feet. If A=2P+9, what is the perimeter of the garden, in feet?

a. 28

b. 36

c. 40

d. 56

e. 64
Director
Joined: 04 Jan 2006
Posts: 928
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Kudos [?]: 10 [0], given: 0

B...

A = P^2/4
A = 2P+9
2 equations...
solve for P...
Manager
Joined: 20 Mar 2005
Posts: 203
Location: Colombia, South America
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Re: Square Garden [#permalink]  19 Apr 2006, 20:55
jlui4477 wrote:
The area of a square garden is A square feet and the perimeter is P feet. If A=2P+9, what is the perimeter of the garden, in feet?

a. 28

b. 36

c. 40

d. 56

e. 64

I think backsolving is the easiest for this one

as A must be a square
then 2P+9 must be a square
it happens to be 36
as 36*2 + 9 = 81

so I would go with B
VP
Joined: 07 Nov 2005
Posts: 1134
Location: India
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Got B, same approach as willget800.
VP
Joined: 29 Apr 2003
Posts: 1410
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Kudos [?]: 12 [0], given: 0

p^2 - 36P + 4P - 144 =0
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