To find the perimeter of a rectangle, you can use the formula:
\[ \text{Perimeter} = 2 \times (\text{length} + \text{width}) \]
In your case, you have:
- Height \( h = x + 2 \)
- Width \( w = x + 6 \)
Plugging these values into the perimeter formula:
\[ \text{Perimeter} = 2 \times ((x + 2) + (x + 6)) \]
Simplifying this:
\[ \text{Perimeter} = 2 \times (x + 2 + x + 6) \] \[ = 2 \times (2x + 8) \] \[ = 2 \times 2x + 2 \times 8 \] \[ = 4x + 16 \]
So, the perimeter of the rectangle is:
\[ \text{Perimeter} = 4x + 16 \]