alright, since the length (L) is 8 meters more than the width (W), then L=W+8...after you get this equation, you can just plug it in for L in your perimeter equation

Steps:

1. find the equation for length (or width) according to the problem

2. plug this into the perimeter equation

3. distribute

4. combine like terms

5. solve for width

6. plug w into the other equation

7. solve for length :)

L=w+8 and P=2L + 2w

108 = 2(w+8) + 2w

108= 2w + 16 +2w

92 = 4w

23=w

L=w+8

L=(23)+8

L=31 ----> this is your answer :)

if you plug these numbers into your perimeter equation you will get 108 :)

hope i helped!!