Question

A city park needs a new fence. The fence costs $9.00 per yard, and the park is 83 yards by 105 yards. How much will it cost to put up a new fence around the park?

$

Answer 1

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**.