She showed the rectangle at right and said, “If I make the base twice as long, then the area increases.” Is her statement correct for this figure? Draw a diagram of the rectangle she described and explain whether the area is greater or less than the rectangle at right.
A Rectangle 3 centimeters by 6 centimeters
Is her claim about the relationship of area and perimeter correct for all figures? For example, is there any way that she could have a rectangle with a greater perimeter than the figure in part (a) but with the same area? Give examples and explain your reasoning.