34. Four friends Aditya(A), Bunny(B), Chotu(C) and Dhanush(D) are sitting in a park and they are
talking to each other using walkie-talkie. Aditya told his friends that their positions will form a
quadrilateral in a park. All friends also agree with Aditya. They got the coordinates of their
positions as A(-5, 7), B(-4,-5), C(-1, 6) and D(4, 5) by taking origin in the centre of the
park. After obtaining the coordinates they have calculate the area of the quadrilateral formed.
How much area they calculated?
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Answer:
Ans: A(1, 4), B(4, 5), C(6, 4) and D(5, 1)
Area of ABC = (1/2) x 5 x 1 = 2.5 sq. units
Area of ACD = (1/2) x 5 x 3 = 7.5 sq. units
Are of quadrilateral ABCD = Area of ABC + Area of ACD = 2.5 + 7.5 = 10 sq. units
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