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Important Formulas: Perimeter and Area | Mathematics for Class 6 PDF Download

1. Perimeter: The perimeter of any closed shape is the total distance around its boundary.

Important Formulas: Perimeter and Area | Mathematics for Class 62. Polygon Perimeter: For polygons, the perimeter is the sum of all the side lengths.

3. Perimeter of a Rectangle:

  • Add the length and width.
  • Multiply the sum by 2. 
  • Perimeter = 2 (l+b)
  • Example: A rectangle with a length of 12 cm and width of 8 cm has a perimeter of 40 cm.

Important Formulas: Perimeter and Area | Mathematics for Class 6

Question for Important Formulas: Perimeter and Area
Try yourself:What is the perimeter of a rectangle with a length of 10 cm and a width of 6 cm?
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4. Perimeter of a Square:

  • The perimeter of a square = 4 x side. 
  • Example: A square with a side length of 1 meter has a perimeter of 4 meters.

Important Formulas: Perimeter and Area | Mathematics for Class 6

5. Perimeter of a Triangle:

  • Sum the lengths of all three sides. P = a+ b+ c
  • Example: A triangle with sides of 4 cm, 5 cm, and 7 cm has a perimeter of 16 cm.

Important Formulas: Perimeter and Area | Mathematics for Class 6

  • 6. Regular Polygon Perimeter:

    • Multiply the side length by the number of sides(n) .
      Perimeter = number of sides x length of side 
      P= n x s
    • Example: An equilateral triangle with side length 5 cm has a perimeter of 15 cm.
      Important Formulas: Perimeter and Area | Mathematics for Class 6

7. Area: Area is the amount of space inside a shape. The area is generally measured in square units.
Important Formulas: Perimeter and Area | Mathematics for Class 6

8. Area of a Square

  • Multiply the side by side. 
  • Area = side x side = side2

9. Rectangle Area Calculation:

  • Multiply the length by the width.  Area = L x W
  • Example: A room 5 m by 4 m has an area of 20 square meters.

10. Triangle Area:

  • The area of a triangle is half the area of a rectangle when cut diagonally.
  • Area = 1/2 (base x height)
  • Example: A rectangle cut into two triangles results in each triangle having half the rectangle’s area.

11. Two closed shapes can have the same area but different perimeters, or the same perimeter but different areas. 
To estimate or find the exact area of a region, you can break it into smaller squares or shapes like rectangles and triangles, whose areas can be calculated.

The document Important Formulas: Perimeter and Area | Mathematics for Class 6 is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on Important Formulas: Perimeter and Area - Mathematics for Class 6

1. What is the formula for the perimeter of a rectangle?
Ans. The formula for the perimeter of a rectangle is P = 2(length + width), where 'length' is the longer side and 'width' is the shorter side of the rectangle.
2. How do you calculate the area of a triangle?
Ans. The area of a triangle can be calculated using the formula A = 1/2 × base × height, where 'base' is the length of the triangle's base and 'height' is the perpendicular height from the base to the opposite vertex.
3. What is the difference between perimeter and area?
Ans. The perimeter is the total distance around a shape, while the area measures the space contained within that shape. Perimeter is expressed in units of length, while area is expressed in square units.
4. How do you find the area of a square?
Ans. The area of a square can be calculated using the formula A = side × side, or A = side², where 'side' is the length of one of the square's sides.
5. Can the perimeter and area of a shape be the same?
Ans. Yes, there are certain shapes where the perimeter and area can be the same, but this is not common. For example, a square with a side length of 4 units has a perimeter of 16 units and an area of 16 square units.
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