Answer
The cost charged by the forest department will be\[\$13032.73\].
Work Step by Step
We know that 1 mile is equivalent to 5280 feet. Convert 16.8 miles into feet as mentioned below:
\[\begin{align}
& 16.8\text{ miles}=\text{16}\text{.8 miles}\times \frac{5280\text{ feet}}{\text{ mile}} \\
& =88704\text{ feet}
\end{align}\]
Compute the total area to be covered under the oil pipeline as follows:
\[\begin{align}
& A=l\times b \\
& =88704\text{ ft}\times 200\text{ ft} \\
& =\text{17740800 f}{{\text{t}}^{\text{2}}}
\end{align}\]
As we know that 1 acre is equivalent to 43560 square feet. Convert the area into acre as mentioned below:
\[\begin{align}
& 17740800\text{ f}{{\text{t}}^{2}}=17740800\text{ f}{{\text{t}}^{2}}\times \frac{1\text{ acre}}{43560\text{ f}{{\text{t}}^{2}}} \\
& =407.27\text{ acre}
\end{align}\]
Per acre charge of the forest department is $32. Compute the total cost charged by the forest department as mentioned below:
\[\begin{align}
& \text{Cost}=\$32\times407.27\text{acre}\\&=\text{}\!\!\$\!\!\text{13032}\text{.73}\end{align}\]
Hence, the cost charged by the forest department will be\[\$13032.73\].
