Tutorial Area of any Irregular Quadrilateral


Area of any Irregular Quadrilateral


   


A plane figure bounded by four straight line segments is called an irregular quadrilateral.
The area of any irregular quadrilateral can be calculated by dividing it into triangles.



Example:
Find the area of a quadrilateral whose sides are , , and m respectively and the angle between the first two sides is a right angle.
Solution:


From the figure we notice that is a right-angled triangle, in which m, m. Also



Now, Area of m
In , m, m, m
m
Now, Area of

Square meter
Area of Quadrilateral Area of Area of
Square meter
Square meter

Example:
In a quadrilateral the diagonal is cm and the two perpendiculars on it from the other vertices are cm and cm respectively. Find the area of the quadrilateral.


Solution:
Given that from the figure m, m, m
Area of Area of Area of

Square meter




Exclusive Topics

Higher Mathematics

Other Math Links

  • Math for Programmers
  • Newsletter