The area of the rectangle is 32 sq in.
32 = l*w
What are the factors of 32?
32 = 1*32, 2*16,4*8
So the length is always longer than the width.
(w,l) are the pairs.
For (1,32)
P = 2(l + w)
P = 2(1 + 32)
P = 2*33 = 66 inches
For (2,16)
P = 2(2*16) = 2*32 = 64 inches
For (4,16)
P = 2(4*16) = 2*64 = 128 inches