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Write the Following as an Algebraic Expression.Then Simplify. The Perimeter of the Rectangle with Length X+11 and Width X.

Question

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

Solution

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Answer

### The algebraic expression for the perimeter is .

Explanation

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