Question

if A (-5,7) ,B (-4,-5),c (-1,6) and D (4,2) are the vertices of a quadrilateral , find the area of quadrilateral ABCD

Answer 1

Point D is (4,5).
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.

HOPE THIS WILL HELP YOU...