Final answer:
The simplified expression for the perimeter is 4x + 4.
Step-by-step explanation:
The given expression is x^2 + 2x + 1
To find the perimeter, we need to simplify the expression and determine the length around the shape represented by the expression.
In this case, the expression represents a quadratic function. We can simplify the expression by factoring it as a perfect square trinomial.
x^2 + 2x + 1 = (x + 1)^2
The perimeter of a shape represented by this expression is equal to the sum of all the sides.
Since this is a quadratic expression, we can think of it as a square with side length (x + 1).
Therefore, the perimeter is equal to 4(x + 1) = 4x + 4