A Reactangle has a length five less than the width. If the perimeter is 14 units, create an equation using x to help you find the width and length.

To find the width and length of the rectangle, let's break the problem down.

### Step 1: Set Variables  
Let:
- \( x \) = width of the rectangle (in units)
- \( x - 5 \) = length of the rectangle (since the length is 5 units less than the width)

### Step 2: Write the Perimeter Formula  
The formula for the perimeter of a rectangle is:  
\[
P = 2(\text{Length} + \text{Width})
\]  
Since the perimeter is given as 14 units, we can substitute values into the formula:  
\[
14 = 2((x - 5) + x)
\]

### Step 3: Simplify the Equation  
First, simplify the terms inside the parentheses:  
\[
14 = 2(2x - 5)
\]  
Now, distribute the 2:  
\[
14 = 4x - 10
\]

### Step 4: Solve for \( x \)  
Add 10 to both sides:  
\[
14 + 10 = 4x
\]  
\[
24 = 4x
\]  
Now, divide both sides by 4:  
\[
x = 6
\]  
So, the **width** is 6 units.

### Step 5: Find the Length  
The length is:  
\[
x - 5 = 6 - 5 = 1 \, \text{unit}
\]

### Final Answer
- **Width**: 6 units  
- **Length**: 1 unit

Would you like further details or have any follow-up questions?

---

Here are **5 related questions** to explore further:  
1. How would the equation change if the length were twice the width?  
2. What if the perimeter was given in meters instead of units?  
3. How do you find the area of this rectangle?  
4. Can you derive a formula to express length in terms of perimeter and width?  
5. How does the perimeter formula change for a square?  

**Tip**: Always double-check units in geometry problems to ensure your answer matches the required measurements.

A rectangle has a length five less than the width. If the perimeter is 14 units, create an equation using x to help you find the width and length.

Learn how to solve for the width and length of a rectangle when given the perimeter and the relationship between length and width. This problem explores key algebraic and geometric concepts using a linear equation, suitable for students in Grades 6-8.

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