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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? How is the length being determined? Describe the rectangle that has the maximum area.