To determine how many rolls of fencing are needed to go around the park, we first need to calculate the perimeter of the park.
The park dimensions are given as 40 yards by 60 yards. To find the perimeter \( P \) of a rectangle, we use the formula:
\[ P = 2 \times (length + width) \]
Converting the dimensions from yards to feet (since there are 3 feet in a yard):
- Length: \( 40 \text{ yards} \times 3 = 120 \text{ feet} \)
- Width: \( 60 \text{ yards} \times 3 = 180 \text{ feet} \)
Now substituting the lengths into the perimeter formula:
\[ P = 2 \times (120 \text{ feet} + 180 \text{ feet}) = 2 \times 300 \text{ feet} = 600 \text{ feet} \]
Now, we know the total perimeter is 600 feet. Each roll of fencing contains 330 feet. To find the number of rolls needed, we divide the total perimeter by the length of one roll:
\[ \text{Number of rolls} = \frac{600 \text{ feet}}{330 \text{ feet/roll}} \approx 1.818 \]
Since you cannot purchase a fraction of a roll, you will need to round up to the next whole number. Therefore, you will need:
\[ \text{Number of rolls needed} = 2 \]
So, you will need 2 rolls of fencing to enclose the park.