Mensuration: Rectangle

MENSURATION: RECTANGLE

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

Properties of Rectangle

1. l is the length and w is the width of the rectangle
2. d is the diagonal of the rectangle
3. All internal angle is 90 degree
4. Parallel side are equal

Important Formula for Rectangle

Area Of Rectangle (A)

Area(A) = Length(l) X Width(w)

Example: Calculate the area of whose length is 4cm and with is 3cm

Given: Length(l) = 4cm

            Width(w) = 3cm

Formula:

           Area(A) = Length(l) X Width(w)

           Area(A) = 4cm X 3cm

          Area(A) = 12 cm^2

Area of given rectangle is 12 cm^2

Perimeter of Rectangle(P)

Perimeter(P) = 2 x (Length(l) + Width(w))

Example: Calculate the perimeter of whose length is 4cm and with is 3cm

Given: Length(l) = 4cm

            Width(w) = 3cm

Formula:

            Perimeter(P) = 2 x (Length(l) + Width(w))

            Perimeter(P) = 2 x (4cm + 3cm)

            Perimeter(P) = 2 x 7cm

            Perimeter(P) = 14 cm  

The perimeter of the given rectangle is 14 cm

Diagonal of Rectangle(D)

Diagonal(D) = Sqrt(Length(l)^2 + Width(w)^2)

Example: Calculate the diagonal of whose length is 4cm and with is 3cm

Given: Length(l) = 4cm

            Width(w) = 3cm

Formula:

            Diagonal(D) = Sqrt(Length(l)^2 + Width(w)^2)

            Diagonal(D) = Sqrt(4cm^2 + 3cm^2)

            Diagonal(D) = Sqrt(16cm^2+9cm^2)

            Diagonal(D) = Sqrt(25cm^2)

            Diagonal(D) = 5cm

Diagonal of given rectangle is 5 cm

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