The formula for the perimeter $P$ of a rectangle is given by:

$P = 2 \times (\text{length} + \text{width})$

For this rectangle, the width is $x$, and the length is $x + 2$. Substituting these values into the formula:

$P = 2 \times (x + (x + 2))$

Now simplify the expression inside the parentheses:

$P = 2 \times (x + x + 2) = 2 \times (2x + 2)$

Distribute the 2:

$P = 4x + 4$

Thus, the expression for the perimeter of the rectangle in its simplest form is:

$P = 4x + 4$

Would you like more details or have any further questions?

Here are 5 related questions:

1. How would the perimeter change if the length was doubled?
2. What would be the perimeter if $x = 3$?
3. How would you calculate the area of the rectangle?
4. If the perimeter is known, how can you solve for $x$?
5. How does the expression for perimeter change if the length was $x + 5$ instead of $x + 2$?

Tip: Always remember to double-check your units when calculating perimeter or area in geometry.