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Answer :

Answer: [tex]8x^2-10x-6[/tex]

Step-by-step explanation:

Given : length =  [tex]3x^2-5x+1[/tex] , width = [tex]x^2-4[/tex]

Perimeter of rectangle  = 2 ( length + width)

Then,  Perimeter of given rectangle  = [tex]2 (3x^2-5x+1+x^2-4)[/tex]

[tex]=2 (4x^2-5x-3)\\\\= 8x^2-10x-6[/tex]

Hence, the  correct expression for perimeter = [tex]8x^2-10x-6[/tex]