The area of a square in square feet is represented by #x^2+12x+36# . What is an expression for the perimeter of the square?

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Answer 1 · 2018-03-25T17:50:17

#4(x+6)#

#:.area=a^2=x^2+12x+36#

#:.Perimeter=4a#

#:.sqrt(a^2)=sqrt (x^2+12x+36)#

#:.a=sqrt (x^2+12x+36)#

#:.a=sqrt( (x+6)(x+6))#

#:.=sqrt(x+6)xxsqrt(x+6)=x+6#

#:.a=x+6#

#:.Perimeter=4(x+6)#