2. Make a graph plotting the area of a rectangle whose perimeter is 36 versus its width. What width gave the maximum area? What gave the minimum area?...

2. Make a graph plotting the area of a rectangle whose perimeter is 36 versus its width. What width gave the maximum area? What gave the minimum area? 3. Now suppose a rectangle has a fixed area of 100 square units. What is the smallest perimeter that such a rectangle can have? Can you make a graph that will convince me? 4. What do you think is the geometric figure with area 1 that has the smallest perimeter? Could Pick"s formula help you to think about this?