A Farmer Has 192 Feet of Fencing and Wants to Build

Multiple Choice

A farmer has 192 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

A) $24 ^ { \prime } \times 32 ^ { \prime }$
B) $24 ^ { \prime } \times 64 ^ { \prime }$
C) $17 ^ { \prime } \times 44 ^ { \prime }$
D) $4 ^ { \prime } \times 152 ^ { \prime }$
E) $8 ^ { \prime } \times 96 ^ { \prime }$