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We see various objects and shapes in our daily lives. These shapes are formed when lines are joined together as boundaries. The area interior to these shapes defines the **perimeter and area** of the shapes. Learning about the **perimeter and area** of different shapes helps us figure out the space taken by a particular figure. Here, we will learn about a perimeter and area and the formulas to calculate the areas and perimeter of different shapes.

The** perimeter** can be understood as a path that covers a two-dimensional figure or shape. It is the length of the shape such as a triangle, square, rectangle etc. It is the length of the outline of a particular shape. **Perimeter** enables us to determine the length of a figure, and its measures are centimetres (cm) or metres (m).

The** area** is defined as the space occupied by a flat object or a shape. The** area** is the number of unit squares covered by the flat object or by the surface of any other shape. It determines the **area** which touches the surface and is measured as a square metre. It is measured in square inches, square feet, and square centimetres.

A **square** is a two-dimensional figure or a shape with four equal sides. It is a quadrilateral that has four sides and fours vertices.

**Perimeter of a Square**

** **The perimeter of a **square** is the sum of all four sides.

- Perimeter of a square = a + a + a + a = 4a, where, a is the length of each side.

**Area of a Square**

** **The area of a square is two times the side.

- Area of a square = Side*Side square unit, where the side is the length of each side.

A** rectangle** is a quadrilateral figure where every angle is a right angle or at 90 degrees. It has four sides with all the opposite sides equal and parallel in length.

**Perimeter of a Rectangle**

** **The perimeter of a **rectangle **is two times the length and breadth of the **rectangle.**

- The perimeter of a rectangle = 2(L+B), where L is length, and B is the breadth of the rectangle.

**Area of a Rectangle**

** **The area of the **rectangle** is multiple of the length and breadth of the** rectangle.**

- Area of a rectangle = L*W, where L is length, and W is the width of the rectangle.

A **rectangle** can be imagined as a figure which is made of two congruent triangles. These triangles are equal in area.

- The area of each triangle = 1/2 (Area of the rectangle)
- The area of each triangle = 1/4 (Area of the square)

A parallelogram is a figure where two opposite sides are equal in length and are parallel to each other. All the interior angles in a parallelogram are equal in measures.

- Area of a parallelogram= B*H, where B is the base, and H is the height of the parallelogram.

For the base of the parallelogram, any side can be taken, and the height is the side from which a perpendicular is dropped on the base from any opposite vertice.

**Area of a Triangle** can be measured through a parallelogram. As the **area of a triangle** is half of the **area of a parallelogram**. We can calculate the **area of a triangle **by constructing a diagonal intersection in the parallelogram. This enables us to identify the height and base of the triangle.

- Area of a triangle= ½ (B*H), where B is the base, and H is the height of the triangle.

A circle is a closed round figure which is based on different points. It is a collection of different points that are equidistant from a central point. For a circle, the fixed point, which is equidistant, is known as the centre, and the fixed distance is known as the radius of the circle.

- The perimeter of a circle= 2×π×r, where r is the radius of the circle, and π is the value 22/7.
- The perimeter of a circle is also known as the circumference of the circle.
- Area of a circle = π×r2, where r is the radius of the circle and π is the value 22/7.

**Area of a circle **is the total region covered by the circle.** The circumference of a circle **is the total distance or path that is covered by a circle.

- Kilometres, metres, centimetres, millimetres are units of length.
- 10 millimetres = 1 centimetre
- 100 centimetres = 1 metre
- 1000 metres = 1 kilometre
- 1 cm2 = 100 mm2
- 1 m2 = 10000 cm2
- 1 hectare = 10000 m2

**What is the formula for perimeter and area?****What is perimeter and area with examples?**- Perimeter= a + a + a + a = 4aP= 4*2
- P= 8 square unit
- Area= Side*Side
- A= 2*2
- A= 4 square unit
**How do you find the area? What is the formula perimeter?**- Perimeter of a rectangle = 2(L+B), where L is length, and B is the breadth of the rectangle.
**What is the area and perimeter of the square?**