Let's begin by listing out the given information:
Width (w) = 47 yards = 141 ft
Length (l) = 158 yards = 474 ft
Cost (c) = $3.28 /ft
We will calculate the Perimeter of the field. We have:
[tex]\begin{gathered} P=2(l+w) \\ P=2(474+141)=2(615) \\ P=1230ft \end{gathered}[/tex]The cost for this is given by:
[tex]\begin{gathered} C=P\times c \\ C=1239\times3.28 \\ C=\text{\$}4034.40 \end{gathered}[/tex]Therefore, the correct answer is D ($4,034.40)