Question 43003
Set up an equation, 

length is 8 more than twice the width : expression would be 2*w + 8
since you let a w stand for width, then width= w

It gives you the Perimeter = 64

Perimeter = 2*length + 2 * width

Fill in the expressions from above

     64 = 2(2w + 8) + 2w
     64 = 4w + 16 + 2w
     64 = 6w + 16
     48 = 6w
     8 = w 
The question asked for the width (w) which is 8 

If it had asked for the length you would fill it back into the 2w + 8 and it would be 24. 

Hope it helps