P = 4k-12 centimeters
The equation for the perimeter of a rectangle is P=2(l+w), where l is length and w is width.
Substitute the given values for l and w, those being (k-9) and (k+3) respectively.
P=2((k-9)+(k+3))
and depending on how the options are written, this is simplified to:
P= 2(2k-12)
and further
P = 4k-12.