Rectangle Space: area,perimeter plane

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

Information: Rectangle Space: area,perimeter plane