Let L is the length and W is the width of the rectangle. It will be L = W + 2 (1) we know that 2L + 2W = 16 cm (2) substituting to (2) where L = W+2 we get 2W+4+2W = 16 -->>> 4W+4=16 deviding by 4 both sides
we get W+1=4 and W=4-1=3 putting this value of W to (1) we get L=3+2=5
check 2L+2w = 2*5+2*3= 10+6 = 16