To find the cost to put up a new fence around the park, we need to first calculate the perimeter of the park. The perimeter (P) of a rectangle can be calculated using the formula:
\[ P = 2 \times (length + width) \]
In this case, the length is 105 yards and the width is 83 yards. Plugging in the values:
\[ P = 2 \times (105 + 83) \]
Calculating the length + width:
\[ 105 + 83 = 188 \]
Now, calculating the perimeter:
\[ P = 2 \times 188 = 376 \text{ yards} \]
Next, we calculate the total cost for the fence by multiplying the perimeter by the cost per yard. The cost of the fence is $9.00 per yard:
\[ \text{Total Cost} = P \times \text{Cost per yard} \] \[ \text{Total Cost} = 376 \times 9 \] \[ \text{Total Cost} = 3384 \]
Therefore, the cost to put up a new fence around the park will be $3384.00.