Maximize the Area of a Rectangle with Fixed Perimeter

Move the slider to adjust the rectangles width. Record the widths & areas for w=15, 30, 45, 60, 75, 90, 105, 120,135. Observe when the areas are the same. Observe the maximum area.
What are the length and width that gives the greatest area?[br]How is the length being determined?[br]Describe the rectangle that has the maximum area.

Information: Maximize the Area of a Rectangle with Fixed Perimeter