Question

{(2,4),(3,5),(4,6),(5,8)}

Answer 1

The area of the quadrilateral is
`(3)/(2)` units.

Explanation:

The given four sides of quadrilateral = (2, 4), (3, 5), (4, 6) and (5,8)

To find, the area of the quadrilateral = ?

We know that,

The area of quadrilateral
`=(1)/(2) [x_(1)( y_(2)-y_(3))+x_(2)( y_(3)-y_(4))+x_(3)( y_(4)-y_(1))+x_(4)( y_(1)-y_(2))]`

`=(1)/(2) [2( 5-6)+3( 6-8)+4( 8-4)+5(4-5)]`

`=(1)/(2) [2(-1)+3(-2)+4(4)+5(-1)]`

`=(1)/(2) (-2-6+16-5)`

`=(1)/(2) (16-13)`

=
`(3)/(2)` units

Thus, the area of the quadrilateral is
`(3)/(2)` units.