Answer:
x+4
Step-by-step explanation:
x² + 8x² +16 = x² + 2*4x +4² = (x+4)²
Area of a square = side²
So, the length of one side of the given square is (x+4).
The expression that represent the length of one side of the square is x+4.
Since the equation is
[tex]= x^2 + 8x^2 +16[/tex]
So, we can write as the
[tex]= x^2 + 2\times 4x +4^2 \\\\= (x+4)^2[/tex]
Now we know that
Area of a square = side²
hence, we can say that the expression that represent the length of one side of the square is x+4.
Learn more about length here: https://brainly.com/question/16275891