First step is to plot all the given coordinates in the xy plane.
Notice that after plotting the points A, B, C and D, we have got the figure ABCD is a trapezium with bases AD = 4 units, BC = 6 units and height: DE= 5 units.
Formula to find the area of trapezium is:
Area =
![((AD+BC))/(2) *DE](https://img.qammunity.org/2019/formulas/mathematics/middle-school/tdcct0h07t95p271cein66vspuxjkmcstj.png)
=
![(4+6)/(2) *5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5qm2hyd62wnehgi9nt5arawdhe3cif5nlm.png)
=
![(10)/(2) *5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/q5jzz91065yzwjzhqaa3eej19r86ktujcu.png)
= 5 * 5
= 25 square units.
So, third choice is correct.
Hope this helps you!