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

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Manager
Joined: 23 Jan 2008
Posts: 108
Followers: 2

Kudos [?]: 32 [0], given: 0

The area of a square garden is A square feet and the [#permalink]  04 Feb 2008, 18:12
The area of a square garden is A square feet and the perimeter is P feet. If A=2P+9. what is the perimetre of the garden in feet ?

1. 28
2. 36
3. 56
4. 40
5. 64
Director
Joined: 25 Dec 2007
Posts: 524
Schools: Harvard '11
Followers: 9

Kudos [?]: 63 [0], given: 28

Re: area os aquare ? [#permalink]  04 Feb 2008, 18:34
P = 4*side
A=side^2

So, A = (P/4)^2 = (P^2)/16 = 2P+9 --> P^2 = 32P + 144 --> P = 36 or P = -4

So, P = 36.
SVP
Joined: 28 Dec 2005
Posts: 1581
Followers: 2

Kudos [?]: 88 [0], given: 2

Re: area os aquare ? [#permalink]  06 Feb 2008, 16:50
36

P=(A-9)/2. Let x be a side of the square. Subbing in, we have:

4x=(x^2-9)/2 --> x^2-8x-9=0 --> x=9

thefore A=81 and P =(81-2)/2 = 72/2=36
Re: area os aquare ?   [#permalink] 06 Feb 2008, 16:50
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