Question

The area of a quadrilateral formed by the points (−4,5),(0,7),(5,−5),(4,−2) is

Answer 1

Answer:

Let A(−4,−2),B(−3,−5),C(3,−2),D(2,3) be vertices of quadrilateral

Area of quadrilateral

=

2

1

[20+6+9−4−(6−15−4−12)]

=

2

1

[31−(−25)]

=

2

1

(31+25)=

2

56

=28 square units.