The area of a square garden is A square...

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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

OA=B
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by truplayer256 » Tue Jun 30, 2009 4:57 pm
One side of the square garden=s

Area of square garden=s^2

s^2=A-->s^2=2P+9

Perimeter of square garden= 4s---> P=4s

s^2=2(4s)+9

s^2=8s+9

s^2-8s-9=0

(s-9)(s+1)=0

s=9

Perimeter=4s=4(9)=36 B

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by BlindVision » Tue Jun 30, 2009 9:33 pm
That explanation was so clear and clean!

Thank you!
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