MENSURATION: SQUARE

MENSURATION: SQUARE

In mathematics, a square represents a closed geometrical shape which has four equal sides and four right angles, the right angle means 90 degrees.

Properties of Square

1. l is the side length the square
2. d is the diagonal of the square
3. All internal angle is 90 degree
4. All side are equal

Important Formula for Square

Area Of Square (A)

Area(A) = Side(l) X Side(l)

Example: Calculate the area of a square whose side is 4cm

Given: Side(l) = 4cm

Formula:

           Area(A) = Side(l) X Side(l)

           Area(A) = 4cm X 4cm

          Area(A) = 16 cm^2

Area of given square is 16 cm^2

Perimeter of Square(P)

Perimeter(P) = 4 x Side(l)

Example: Calculate the perimeter of a square whose side is 4cm

Given: Side(l) = 4cm

Formula:

            Perimeter(P) = 4 x Side(l)
            Perimeter(P) = 4 x 4cm

            Perimeter(P) = 16 cm  

The perimeter of the given square is 16 cm

Diagonal of Square(D)

Diagonal(D) = Sqrt(2) x Side(l)

Example: Calculate the diagonal of a square whose side is 4cm

Given: Side(l) = 4cm

Formula:

           Diagonal(D) = Sqrt(2) x Side(l)

            Diagonal(D) = Sqrt(2) x 4cm

            Diagonal(D) =  1.414 x 4cm

            Diagonal(D) = 5.656 cm

Diagonal of given square is 5.656 cm

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