Question
Write the following as an algebraic expression.Then simplify. The perimeter of the rectangle with length x+11 and width x.
Solution
4.3
(343 Votes)
Graham
Elite ยท Tutor for 8 years
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: