Answer:
The expression representing length is (x+1).
Step-by-step explanation:
Area of square = [tex]1+2x+x^2[/tex]
We need to find length of square
We know that: [tex]Area\:of\:Square=(Length)^{2}[/tex]
Putting values and finding length
[tex]Area\:of\:Square=(Length)^{2} \\\\1+2x+x^2=(Length)^{2}\\(Length)^{2} = x^{2} + x +x +1\\(Length)^{2} = x( x+1) +1 (x +1)\\(Length)^{2} = (x+1)^{2}\\Length = (x+1)[/tex]
So, the expression representing length is: (x+1)
