Dale,

1. Approach 1 (elementary) Start with something that has the right area and too little perimeter (say a big square). Then find a way to make the edge longer while keeping the area the same - put in some detours!
   
   

2. Approach 2 (advanced) To do it using a rectangle:

   Let the width be W. If the perimeter is 64, what is the height?
   (draw and label a picture if this helps)
   What is the area in terms of W? Set this equal to 64.

   Solve this equation for W using factoring, completing the square, or the quadratic formula.

Good hunting!
RD