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.

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

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

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

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

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.

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

Square meter

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