Write the following as an algebraic expression.Then simplify. The perimeter of the rectangle with length x+11 and width x.

## Step 1: Identify the Formula for Perimeter<br />### The perimeter \( P \) of a rectangle is given by the formula \( P = 2(\text{length} + \text{width}) \).<br /><br />## Step 2: Substitute Given Values<br />### Substitute the given length \( x + 11 \) and width \( x \) into the perimeter formula: <br />\[ P = 2((x + 11) + x) \]<br /><br />## Step 3: Simplify the Expression Inside the Parentheses<br />### Combine like terms inside the parentheses: <br />\[ (x + 11) + x = 2x + 11 \]<br /><br />## Step 4: Distribute the 2<br />### Multiply the simplified expression by 2 to find the perimeter:<br />\[ P = 2(2x + 11) = 4x + 22 \]