A Closed Rectangular Box Has Dimensions of Length N Inches $A ( n )$

Multiple Choice

A closed rectangular box has dimensions of length n inches, width n+6 inches, and height n+2 inches. Write a polynomial function $A ( n )$ for the area of the largest side of the box.

A) $A ( n ) = n ^ { 2 } - 2 n + 12$
B) $A ( n ) = - n ^ { 2 } + 6 n + 12$
C) $A ( n ) = n ^ { 2 } - 4 n + 12$
D) $A ( n ) = n ^ { 2 } + 4 n + 12$
E) $A ( n ) = n ^ { 2 } + 8 n + 12$