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Q.

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (1,1),(3,4),(5,−2)  and (4,−7)

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a

41sq. units

b

61.5 sq. units

c

20.5sq. units

d

82 sq. units

answer is A.

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Detailed Solution

Area=121−53−41+24+7 

=12−4−1311

=12|(−44+3)|

=12(41)

=20.5 sq.units

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