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Question

If A (-3, 5), B (-2, -7), C (1, -8) and D (6, 3) are the vertices of a quadrilateral ABCD,  find its area.


Solution

If the vertices of a quadrilateral are (x1,y1)(x2,y2)(x3,y3) and (x4,y4), its area is given by

12|(x1y2y1x2)+(x2y3y2x3)+(x3y4y3x4)+(x4y1y4x1)|

=12|((3)×(7)5×(2))+((2)×(8)(7)×1)+(1×3(8)×6)+(6×53×(3))|

= 72 sq. units


Mathematics
RD Sharma
Standard X

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