General Quadrilaterals

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

Types of general quadrilaterals.

Square
Rectangle
Parallelogram
Rhombus
Trapezoid
Kite

General quadrilatel - Figures:

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.

General Quadrilaterals - Example problems:

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

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

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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