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Square rectangle rhombus

Square:

 Squareis one type of regular quadrilateral. It is two dimensional in shape. It has four sides which are equal in length. It has four angles each 90 degree. There are four vertices in square namely A, B, C and D. it has two diagonals. Both are perpendicular and bisect each other.

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Area of square (A) =a2 square units

Perimeter of the square (P) = 4 x a

Example problem:

Find the area and perimeter of the square, whose side length is 4 meter.

Solution:

Given:

 Side (a) =4m

Area of square =a2

= 4 x 4

Area of square =16 m2

Perimeter of the square (P) = 4 x a

Perimeter of the square = 4 x 4

=4 x 4

Perimeter of the square = 16 meters

Rectangle:

Rectangle is one type of regular quadrilateral.It has four sides. The opposite sides are equal in length. It has fourvertices. It has four internal angles which are congruent. There are two diagonals in rectangle. The sum of internal angles of rectangle is 360 degree.

Area of the rectangle (A) = length x width

Area (A) = l x w

Perimeter of the rectangle = 2(length + width)

Perimeter (p) =2(l x w)

Example problem:

Find the area and perimeter of rectangle, whose length and width are 5meters and 4 meters respectively.

Solution:

Area of rectangle = l x w square unit.

Given:    Length="5" meters, Width =4 meters

 =5 x 4

 Area of rectangle = 20 m2                   

Perimeter of the rectangle   = 2(l + w)

                                               =2(5+ 4)

                                               = 2 (9)

Perimeter of the rectangle = 18 meters

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Rhombus:

Itis one type of quadrilateral. Its four sides are equal in length. If the rhombus has right angle triangle it is a square. It has four angles.The opposite angles are equal in measure.

Area of the rhombus (A) = b x h square units.

Perimeter of rhombus (P) = 4b units

Example problem:

Find the area of rhombus whose base 10cm and height 9.8cm.

Solution:

Formula:

Area of the rhombus (A) = b x h square units

Given:

            Base="10cm;"       height="9.8cm

                        = 10 x 9.8

                        =98 cm2

Area of the rhombus (A) = 24 cm2

Perimeter of rhombus (P) = 4 x base

                                            = 4 x 10

                                            =40 cm