# Perimeter and Area

### Perimeter: The perimeter of a shape is the total length of its boundary. It's like walking around the edge of the shape and adding up all the distances.

Formula for Perimeter: The formula for finding the perimeter (P) depends on the shape:

For a rectangle: P =2×(length+width)

For a square: P =4×side

For a triangle: P =side1+side2+side3

And so on for other shapes.

Example:

Consider a rectangle with a length of 5 units and a width of 3 units.

Perimeter : P=2×(5+3)=16 units.

### Area: The area of a shape is the measure of the amount of space inside the shape. It's like finding out how much paint you'd need to cover the shape.

Formula for Area:

Again, the formula depends on the shape:

For a rectangle:

�=length×width

A=length×width

For a square:

�=side×side

A=side×side

For a triangle:

�=12×base×height

A=

2

1

×base×height

And so on for other shapes.

Example:

Take a square with each side measuring 4 units.

Area

�=4×4=16

A=4×4=16 square units.

### Key Points:

Units:

Perimeter is measured in the same units as the sides (e.g., meters, centimeters).

Area is measured in square units (e.g., square meters, square centimeters).

Comparison:

Perimeter is about the length around the shape.

Area is about the space inside the shape.

Visualizing:

Perimeter is like measuring the fence around your yard.

Area is like measuring the space your carpet covers in your room.

Real-world Analogies:

Think of a rectangular garden. The perimeter is the length of the fence around it, and the area is the space the garden covers.