Classify Quadrilateral Shapes

Quadrilateral is the two dimensional plane figures which has four sides so it is a four sided polygon. The total angle of a quadrilateral is 360 degrees. The number of diagonals for a quadrilateral are two. When we have two diagonals then both the diagonals will intersect at a common point. The quadrilateral has four vertices's and four edges. Here in this topic we are going to see about classify quadrilateral shapes.

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Classify the shapes of quadrilaterals:

classification of quadrilateral based on shapes:
Square
Rectangle
Parallelogram
Rhombus
Trapezoid
Kite

Classification of quadrilaterals based on their shapes.

Square:

In a square all the sides are equal in length and all the angles are equal to 90 degree. The diagonals of a square are equal to each other.

Rectangle: 

In a rectangle, opposite sides are equal to each other and all the angles are equal to 90 degree.

Parallelogram: 

In a parallelogram opposite sides are equal in length and opposite angles are also equal to each other.

Rhombus: 

Rhombus is a combination of square and parallelogram. In Rhombus all sides of the lengths are equal and the opposite angles are equal to each other.

Trapezoid:

In a trapezoid one of the pair of opposite sides are parallel.

Kite:

It has two pair of sides and the lengths of the adjacent pair are equal in length.

Problems - Classify Quadrilateral shapes:

 1) What is the area of a square having side-length 15 cm?

Solution:

The area of the Square = L²

Where L= 15cm

Length= L*L

= 15*15

= 225cm²

2) What is the area of a rectangle having a length of 8cm and a width of 3.3cm?

Solution:

The area of the rectangle = length * width

 = 8 * 3.3= 26.4 cm²

3) What is the area of a trapezoid having the length of the parallel sides as  13 and 7 and the height being 9?

Solution:

The area of the trapezoid = h/2*(b1+b2)

=9/2(13+7)

=4.5(20)

=90 square units

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4) What is the area of a parallelogram having a base of 30cm and a corresponding height of14cm?

Solution:

The area of the parallelogram=b*h

= 30*14

=420cm²

5) What is the area of a square having side-length 5.4cm?

Solution:

The area of the Square =L²

= 5.4 * 5.4

=29.16cm²