Rectangle Space: area,perimeter plane

In the right panel is a picture of a rectangle with a given height and width and therefore a well-defined Area and Perimeter. The left panel is an {area, perimeter} plane with a RED dot at a position that corresponds to the height and width of the rectangle in the right panel. You can change the rectangle by dragging the BLACK point in the right hand panel. You can leave a mark at the current position of the RED dot by clicking the "mark this point" button. Describe the curves traced out by the RED point in the left hand panel as you drag the BLACK point in right hand panel along a - vertical line - horizontal line - line with a slope of 1 - line with a slope of 2 Can you explain the shapes of these curves. Make up another question to ask.