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Square quadrilateral

Introduction:

You have studied many properties of a triangle in fundamental mathematics and you know that on joining three non-collinear points in pairs, the figure so obtained is a triangle. Now, let us mark four points and see what we get on joining them in pairs in a number of orders.

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A quadrilateral is a closed shape in a plane formed in four line segments.

       

  • Where the points A, B, C, D are the vertices of the general quadrilateral.
  • `bar(AB)` , `bar(BC)` ,`bar(CD)` ,`bar(DA)`  are the sides
  • ∟A, ∟B, ∟C, ∟D are the angles
  • AC and BD are diagonals
  • The sum of the measures of all angles is 360°.

  That is, ∟A+ ∟B +∟C +∟D = 360°.

  We have seen the quadrilateral and its parts. Now we shall see the special types of quadrilaterals.

Special types of quadrilaterals:

Types of quadrilateral:

  • Trapezium
  • Parallelogram
  • rectangle
  • Rhombus
  • Square

Let see the square quadrilateral square in the following section:

Square quadrilateral:

 Ina quadrilateral if all the four sides are the same and if all the angles are right angle after that the quadrilateral is called a square.

              

Here the sides  AC = BD and

        the angles ∟A = ∟B = ∟C = ∟D = 90°.

Discuss :

  •  A square is a quadrilateral
  •  A square is a rectangle
  •  A rectangle is a parallelogram.

Examples of square quadrilateral:


Let us see some examples of square quadrilateral:

Example 1:

      Find the area of square quadrilateral whose side is 3 cm.

Solution:

      We know that, Area = a2 sq.units

      Here a = 3 cm

             A = 3*3 = 9 cm2

Between, if you have problem on these topics Find the Area of a Circle , please browse expert math related websites for more help on Surface Area of a Prism. 

Example 2:

Find the area of a square quadrilateral whose perimeter is 44 cm

Solution:

       Given Perimeter of the square, P = 44 cm

       We know that  P = 4a units
                       i.e 4a = P

                            A = p/4

       Therefore, side of  the square ,

                             a = 44/4 = 11

                             a = 11

       Area, A = a2 sq.units

                   = 11 *11 =121

      Therefore, Area = 121 m2