The perimeter of a rectangle is 204 feet . If the width is 45 feet, what is the length of the rectangle?

To solve for the length of the rectangle, we can use the formula for the perimeter of a rectangle:

\[
\text{Perimeter} = 2 \times (\text{length} + \text{width})
\]

Given:
- Perimeter = 204 feet
- Width = 45 feet

### Step 1: Substitute the known values into the formula
\[
204 = 2 \times (\text{length} + 45)
\]

### Step 2: Divide both sides by 2 to simplify
\[
102 = \text{length} + 45
\]

### Step 3: Solve for the length by subtracting 45 from both sides
\[
\text{length} = 102 - 45 = 57
\]

### Answer
The length of the rectangle is **57 feet**.

Would you like more details, or have any questions?

### Related Questions
1. If the width were increased to 50 feet, what would the new perimeter be?
2. What would be the area of the rectangle with the original dimensions?
3. If the perimeter was doubled, what would be the new length?
4. What is the ratio of the length to the width in this rectangle?
5. If the length was reduced by 5 feet, what would be the new perimeter?

### Tip:
For rectangles, knowing either the perimeter or area can often lead to finding unknown side lengths by setting up and solving equations.

The perimeter of a rectangle is 204 feet. If the width is 45 feet, what is the length of the rectangle?

Learn how to determine the length of a rectangle when given its perimeter and width. This step-by-step solution uses the perimeter formula and algebraic manipulation, ideal for students in Grades 6-8.

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