Question

28] A (-4,2), B (-3,-5), C (3,-2) and D (2, k) are the vertices of a quadrilateral ABCD. If the area
of the quadrilateral is 28 sq. units, find the value of 'K'.
OR​

Answer 1

Answer:

-4 -3 3 2 -4

2 -5 -2 k 2

1/2(20+6+3k+4)-(-6-15-4-4k)

1/2(30+3k)-(-25-4k)

1/2(30+3k+25+4k)

1/2(55+7k)=28

55+7k=56

7k=1

k=1/7