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) $8 ^ { \prime } \times 96 ^ { \prime }$

Question

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) $8 ^ { \prime } \times 96 ^ { \prime }$

Quizplus · Accepted Answer

The Answer of 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) $8 ^ { \prime } \times 96 ^ { \prime }$

A Farmer Has 192 Feet of Fencing and Wants to Build