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

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The area of a square garden is A square feet and the perimet [#permalink] New post 19 Apr 2006, 20:50
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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-area-of-a-square-garden-is-a-square-feet-and-the-perimet-93425.html
[Reveal] Spoiler: OA
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 [#permalink] New post 19 Apr 2006, 20:53
B...

A = P^2/4
A = 2P+9
2 equations...
solve for P...
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Re: Square Garden [#permalink] New post 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
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 [#permalink] New post 20 Apr 2006, 06:06
The Answer is B!!


p^2 - 36P + 4P - 144 =0
Solving we get the answer!
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Re: The area of a square garden is A square feet and the [#permalink] New post 21 May 2014, 09:38
Perimeter of square = P
Side of square = P/4

Area of Square = (P^2)/16 =A

Given that A = 2P + 9

(P^2)/16 = 2P + 9

P^2 = 32P + 144

P^2 -32P -144 = 0

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

P(P-36)+4(P+36) = 0

(P-36)(P+4) = 0

P = 36 o r- 4

Discarding negative value , P = 36

Answer is B
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Re: The area of a square garden is A square feet and the [#permalink] New post 22 May 2014, 01:02
Using Hit and Trial:

Regards,
Rajat
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Re: The area of a square garden is A square feet and the perimet [#permalink] New post 22 May 2014, 01:31
Expert's post
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

Let the side of garden be x feet, then: area=a=x^2 and perimeter=p=4x. Given: a=2p+9 --> x^2=2*4x+9 --> solving for x: x=-1 (not a valid solution as x represents the length and therefore must be positive) or x=9 --> perimeter=p=4x=36.

Answer: B.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-area-of-a-square-garden-is-a-square-feet-and-the-perimet-93425.html
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Re: The area of a square garden is A square feet and the perimet   [#permalink] 22 May 2014, 01:31
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