Answer:
Fourth Option
Explanation:
The perimeter of a shape is all sides added. So, if you do 2x + 2x + (x+1) + (x+1), you would get 6x+2. To get the answer to the question, you verify to see which one of the options equal to 6x+2.
First option:
2x(x+1) and 2(2x) + 2(x+1). You find what this equals. 2x(x+1) = 2x^2+2x so we can automatically elimate this one.
Second option:
2x(x+1) and 2x+2x+2x+1. Here again you see 2x(x+1) which equals 2x^2+2x and is not correct so we eliminate this.
Third option:
4x(2x+2) and 2x(x+1) + 2x(x+1). Once more you see 2x(x+1) but added to 2x(x+1) which would basically equal 2x^2+2x *2. Therefore, it's not this one.
Fourth option:
6x+2 and 2x+(x+ 1) +2x + (x+ 1). Now this one looks right because we already got 6x+2 and this is the only option that presents that but also because we initially solved 2x + 2x + (x+1) + (x+1) and this equals 2x+(x+ 1) +2x + (x+ 1).
I guess you don't really have to solve each of them you can kinda see and tell that the last one seems right but if you're not sure you should use the process above.
I hope this helped!