A plane figure bounded by four straight line segments is called an irregular quadrilateral. The area of any irregular quadrilateral ca 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
Area of Quadrilateral Area of Area of
Area of Quadrilateral 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
Area of Square meter