10th Class
Mathematics
Coordinate Geometry
Question Bank
Coordinate Geometry
question_answer
Area of quadrilateral formed by the vertices \[(-1,6),\,(-3,-9),\,(5,-8)\] and (3, 9) is _____ (sq. units).
A) 96
B) 18
C) 50
D) 25
Correct Answer:
A
Solution :
Let \[A(-1,6),\,B(-3,-9),\,C(5,-8)\] and \[D(3,9)\]are the vertices of quadrilateral ABCD. Then, Area of quadrilateral ABCD = Area of \[\Delta \,ABC\]Area of \[\Delta \,ACD\] .... (i) Area of (ABCD) \[=59+37=96\]sq. units.