Question

Find the area of the quadrilateral formed by the points (1,2), (2,-3), (-2,4), (0,5) taken in order

Answer 1

Answer:

The area of a quadrilateral formed by joining the points (x

1

,y

1

), (x

2

,y

2

), (x

3

,y

3

) and (x

4

,y

4

) is

A=

2

1

((x

1

−x

3

)(y

2

−y

4

)−(x

2

−x

4

)(y

1

−y

3

))

Therefore, the area of a quadrilateral formed by joining the points (−4,2), (1,−1), (4,1) and (2,5) is:

A=

2

1

((−4−4)(−1−5)−(1−2)(2−1))=

2

1

((−8)(−6)−(−1)(1))=

2

1

(48+1)=

2

1

(49)=24.5

Hence, the area of the quadrilateral is 24.5 sq. units.

I hope you like this answer please mark me as brainlest