Solve the Problem $24,576 \mathrm { ft } ^ { 2 }$

Multiple Choice

Solve the problem.
-A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 768 feet of fencing is used. Find the maximum area of the playground.

A) $24,576 \mathrm { ft } ^ { 2 }$
B) $36,864 \mathrm { ft } ^ { 2 }$
C) $18,432 \mathrm { ft } ^ { 2 }$
D) $27,648 \mathrm { ft } ^ { 2 }$