Answer:
The perimeter of the rectangle is [tex]P(x) = (4x^{2} + 8x + 8)[/tex]
Step-by-step explanation:
Length of the rectangle = [tex]2x^{2} +3x + 1[/tex]
Width of the rectangle = x + 3
The Perimeter of the Rectangle = 2 (Length + Width)
So, here the perimeter = [tex]2((2x^{2} + 3x +1 )+(x+3)) = 2 (2x^{2} + 3x + 1 + x +3)\\= 2(2x^{2} + 4x+4) = 4x^{2} + 8x + 8[/tex]
Hence,the perimeter of the rectangle is [tex]P(x) = (4x^{2} + 8x + 8)[/tex]
