Certainly! Let's solve this step-by-step to understand the problem completely.
### Step-by-Step Solution
1. Understanding the Problem:
- We have a rectangular deck.
- The length of the deck is 5 feet longer than twice its width.
2. Label the Dimensions:
- Let [tex]\( w \)[/tex] represent the width of the deck.
- According to the problem, the length ([tex]\( l \)[/tex]) is 5 feet longer than twice the width. Therefore, we can write:
[tex]\[
l = 2w + 5
\][/tex]
3. Drawing the Diagram:
- We can now draw a rectangle and label its sides based on the given information.
Here is a simple sketch:
```
l
______________
| |
w| | w
| |
______________
l
Where:
l (Length) = 2w + 5
w (Width) = w
```
This diagram illustrates:
- Both the longer sides of the rectangle labeled as [tex]\( l = 2w + 5 \)[/tex].
- Both the shorter sides of the rectangle labeled as [tex]\( w \)[/tex].
### Summary
The problem is solved as we have:
- Represented the width by [tex]\( w \)[/tex].
- Expressed the length in terms of the width as [tex]\( l = 2w + 5 \)[/tex].
- Labeled the sides of the rectangle accordingly in the drawn picture.
Feel free to ask if you have any further questions on this topic or any other!
