Question

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 1

Answer: $8x^2-10x-6$

Step-by-step explanation:

Given : length =  $3x^2-5x+1$ , width = $x^2-4$

Perimeter of rectangle  = 2 ( length + width)

Then,  Perimeter of given rectangle  = $2 (3x^2-5x+1+x^2-4)$

$=2 (4x^2-5x-3)\\\\= 8x^2-10x-6$

Hence, the  correct expression for perimeter = $8x^2-10x-6$