Solve the Problem $46,875 \mathrm { ft } ^ { 2 }$

Multiple Choice

Solve the problem.
-A farmer has 500 feet of fence with which to fence a rectangular plot of land. The plot lies along river so that only three sides need to be fenced. Estimate the largest area that can be fenced.

A) $46,875 \mathrm { ft } ^ { 2 }$
B) $37,500 \mathrm { ft } ^ { 2 }$
C) $31,250 \mathrm { ft } ^ { 2 }$
D) $25,000 \mathrm { ft } ^ { 2 }$