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Perimeter and area are not sufficient to determine the shape of a figure.
Area is the amount of square units in a 2-D shape, and perimeter is the distance around a shape
The perimeter is the outside of a shape and the area is the inside of it
Perimeter is the outside. The area is the inside of a shape.
If you want to enclose a certain area, the shape that does it with the shortest perimeter is a circle.