5.3 Area of a Quadrilateral

. Area of a Quadrilateral If ABCD is a quadrilateral, then considering the diagonal AC , we can split the quadrilateral ABCD into two triangles ABC and ACD . Using area of triangle formula given its vertices, we can calculate the areas of triangles ABC and ACD . Now, Area of the quadrilateral ABCD = Area of triangle ABC + Area of triangle ACD We use this information to find area of a quadrilateral when its vertices are given. Let A ( , , B ( , , C ( and D ( be the vertices of a quadrilateral ABCD . Now, Area of quadrilateral ABCD = Area of the D ABD +Area of the D BCD (Fig . ) =