Course Curriculum
-
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
Instructor: Zahid
Class 8 math chapter 4.1
Arithmatic formula and application
Class 8 Math Chapter -4.1
|
Square is a regular quadrilateral. All the four sides and angles of a square are equal. The four angles are 90 degrees each, that is, right angles. A square may also be considered as a special case of rectangle wherein the two adjacent sides are of equal length. In this section, we will learn about the square formulas – a list of the formula related to squares which will help you compute its area, perimeter, and length of its diagonals. They are enlisted below: Perimeter of a Square =4a Where ‘a’ is the length of a side of the square.
Properties of a Square
|
|
| Features | |
| Enrolled: |
0 |
| Lectures: |
9 |
| Duration: |
13:29:30 |
| Level: |
0 (0)
|
| Languages: |
() |
The lengths of all its four sides are equal.Course Curriculum
-
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
Formula for area of a square: Area of a square can be defined as the region which is enclosed within its boundary. As we mentioned, a square is nothing a rectangle with its two adjacent sides being equal in length. Hence, we express area as: The area of a rectangle = Length × Breadth Here, The formula for the perimeter of a square: Perimeter of the square is the length of its boundary. The sum of the length of all sides of a square represents its boundary. Hence, the formula can be given by: Perimeter = length of 4 sides Perimeter = a+ a + a + a Perimeter of square = 4a
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b) (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b) a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4 a4 – b4 = (a – b)(a + b)(a2 + b2)
Instructor
I am a teacher of Amin-Sajeda Future Brilliant School
Best Selling Courses
Share
Twitter
Facebook
Whatsapp
Linkedin