A Farmer Has 216 Feet of Fencing and Wants to Build

Multiple Choice

A farmer has 216 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) $$7 ^ { \prime} \times 176^ { \prime}$$
B) $$21 ^ { \prime } \times 52 ^ { \prime}$$
C) $27 ^ { \prime} \times 72 ^ { \prime}$
D) $9^ { \prime} \times 108^ { \prime}$
E) $27 ^ { \prime} \times 36 ^ { \prime}$