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`

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`