The area of a rectangle is expressed by the polynomial #A(x) = 6x^2+17x+12.# What is the perimeter of this rectangle?

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Answer 1 · 2018-06-06T11:19:43

#P(x) = 10x+14#

The area of a rectangle is found from # A = l xx b#

We therefore need to find the factors of the polynomial.

#A(x) = 6x^2+17x+12#

#A(x) = (3x+4)(2x+3)#

We cannot get numerical values for the length and breadth, but we have found them in terms of #x#.

#l = (3x+4) and b= (2x+3)#

#P = 2l + 2b#

#P(x) = 2(3x+4) +2(2x+3)#

#P(x) = 6x+8+4x+6#

#P(x) = 10x+14#