- 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!
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.