Calculate Rectangle Perimeter: Finding the Total Length When x=2 and Width=8x

To find the perimeter of the rectangle given $x = 2$:

• Step 1: Understand the formula $P = 2 \times (\text{length} + \text{width})$.
• Step 2: Compute the length and width with $x = 2$. The length is given by $8x$ and the width is $x$.
• Step 3: Substitute $x = 2$ into these expressions to get the actual dimensions.
• Step 4: Substitute these dimensions into the perimeter formula and simplify.

Now, following these steps:

Step 1: Length is $8x$ and width is $x$. With $x = 2$:
- Length = $8 \times 2 = 16$
- Width = $2$

Step 2: Calculate the perimeter using $P = 2 \times (\text{length} + \text{width})$:
$P = 2 \times (16 + 2) = 2 \times 18 = 36$.

Therefore, the perimeter of the rectangle is $36$.