That means that 2(L+W)=64 => L+W =32. We can also form the
equation L = 8+2w. Plugging this expression into the first equation
for L we get 8+2w+W = 32. Simplifying we get 3w+8 = 32 => 3w=24
=> w=8. Using the fact that L+W=32 and our value for w we get
L+8=32 => L=24. Therefore the dimensions are a length of 24cm
and a width of 8cm.