Question

question 2 (1 point)
what is the perimeter of the polygon?
3x - 4
x + 3
x² - 2x + 1
x² - 2
o a 2x² + 2x - 2
o b 2x² - 6x - 2
o c 2x² + 4x - 2
o d 2x² + 2x + 4

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a polygon is the sum of the lengths of its sides. So $P=(x^{2}-2x + 1)+(3x - 4)+(x^{2}-2)+(x + 3)$.

Step2: Combine like - terms

First, combine the $x^{2}$ terms: $x^{2}+x^{2}=2x^{2}$.
Then, combine the $x$ terms: $-2x+3x + x=(-2 + 3+1)x=2x$.
Finally, combine the constant terms: $1-4-2 + 3=(1 + 3)-(4 + 2)=4 - 6=-2$.
So, $P=2x^{2}+2x-2$.

Answer:

A. $2x^{2}+2x - 2$