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Re: The area of a square garden is A square feet and the perimet [#permalink]
22 May 2014, 01:31
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 \(x=9\) --> \(perimeter=p=4x=36\).