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In this problem, William wants to enclose both his rectangular garden and the path surrounding it with fencing. The dimensions of the garden are 39 feet by 40 feet, and there is a 3-foot-wide path around it.

To find the total amount of fencing required, you need to calculate the perimeter of the larger rectangle formed by the garden and the path.

1. **Dimensions of the larger rectangle:**
   - The path adds 3 feet on each side of the garden. So, the total length and width increase by \( 3 + 3 = 6 \) feet.
   - New length = \( 39 + 6 = 45 \) feet
   - New width = \( 40 + 6 = 46 \) feet

2. **Perimeter formula:**
   The perimeter \( P \) of a rectangle is given by:
   \[
   P = 2 \times (\text{length} + \text{width})
   \]
   Substituting the new dimensions:
   \[
   P = 2 \times (45 + 46) = 2 \times 91 = 182 \text{ feet}
   \]

Therefore, William will need **182 feet** of fencing material to enclose both the garden and the path.

Do you want more details or have any questions?

Here are 5 related questions:
1. What would happen if the path around the garden was wider?
2. How would the answer change if the garden was square instead of rectangular?
3. What if the width of the path varied on different sides?
4. How could we calculate the area of the garden and the path combined?
5. How would the solution change if there were obstacles, like trees, that required more fencing?

**Tip:** Always remember to account for all sides when calculating perimeter, especially when dealing with paths or borders that add to the original dimensions.

William wants to put a fence around his rectangular garden. His garden measures 39 feet by 40 feet. The garden has a path around it that is 3 feet wide. William will need to buy ___ feet of fencing material to enclose the garden and path.

Learn how to calculate the perimeter of a garden with a path around it. William's garden measures 39x40 feet, and he needs fencing to enclose the garden and the 3-feet wide path. This problem demonstrates how to apply the perimeter formula to solve real-life geometry problems. Suitable for students in Grades 6-8.

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