Question

If ,
A( -5 ,7 )
B(-4,-5 )
C( -1,-6 )
D( 4,5 )
are the vertices of a parallelogram ABCD, find the values of a and b. Hence the lengths of its sides

Answer 1

Mistake is in the question. We have to find the AREA OF QUADRILATERAL in this question not the values of a & b.

SOLUTION IS IN THE ATTACHMENT.
Area of a quadrilateral:
To find the area of a quadrilateral first we divide it into triangular region which have no common area. Then find the area of a triangular region separately and add them to get the required area of the given quadrilateral.
Here,We find the area of triangle by using the given Formula.
Area of ∆ = ½ | x1 (y2-y3)+x2(y3-y1)+x3(y1-y2) | sq units.