A Farmer Has 400 Feet of Fence with Which to Fence

Multiple Choice

A farmer has 400 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.

A) $20,000 \mathrm { ft } ^ { 2 }$
B) $24,000 \mathrm { ft } ^ { 2 }$
C) $16,000 \mathrm { ft } ^ { 2 }$
D) $30,000 \mathrm { ft } ^ { 2 }$