What is the Difference Between Area and Perimeter?

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The main difference between area and perimeter lies in what they represent for a given shape. Here are the key differences:

  • Area:
  • Represents the space occupied by a shape or an object, specifically in a two-dimensional plane.
  • Measured in square units (e.g., square meters, square centimeters).
  • For example, the area of a square with side lengths of 3 meters is calculated as 3 meters × 3 meters, or 9 square meters.
  • Perimeter:
  • Represents the length of the outer boundary of a shape or an object.
  • Measured in linear units (e.g., meters, centimeters).
  • For example, the perimeter of the same square with side lengths of 3 meters is calculated as 3 meters + 3 meters + 3 meters + 3 meters, or 12 meters.

In summary, the area represents the space inside a shape, while the perimeter represents the distance around the shape. Shapes with the same area can have different perimeters, and shapes with the same perimeter can have different areas.

Comparative Table: Area vs Perimeter

The difference between area and perimeter can be confusing, but they are essential concepts in geometry. Here is a table outlining the key differences between area and perimeter:

Area Perimeter
Area refers to the space occupied by a shape or an object or a surface. Perimeter refers to the measure of the length of the outline or boundary of a shape, an object, or a surface.
Area is measured in square units. For example, if the dimensions are in inches, then the area is expressed as square inches. Perimeter is measured in linear units. For example, if the dimensions are in inches, then the perimeter is expressed as inches.
Example: Area of a square park is side^2. Example: Fencing the agricultural plot.

In summary, area is the region occupied by a closed shape in a two-dimensional plane and is measured in square units, while perimeter is the length of the outer boundary of a closed shape and is measured in linear units.