The area of a square garden is A square feet and the perimeter is p feet. If a=2p+14.25, what is the perimeter of the garden, in feet?
Choose one
A) 38  B) 36  C) 40  D) 56  E) 64

Rationale: perimeter of square = p side of square = p / 4 area of square = ( p ^ 2 ) / 16 = a given that a = 2 p + 14.25 ( p ^ 2 ) / 16 = 2 p + 9 p ^ 2 = 32 p + 228 p ^ 2 - 32 p - 228 = 0 p ^ 2 - 38 p + 6 p - 228 = 0 p ( p - 38 ) + 6 ( p + 38 ) = 0 ( p - 38 ) ( p + 6 ) = 0 p = 38 or - 6 discarding negative value , p = 38 answer is a
Answer: A