A rectangle has length 3x^2-5x+1 and width x^2-4. Which expression represents the perimeter of the rectangle? Image shows the options.

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]