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 = [tex] \frac{(AD+BC)}{2} *DE [/tex]
= [tex] \frac{4+6}{2} *5 [/tex]
=[tex] \frac{10}{2} *5 [/tex]
= 5 * 5
= 25 square units.
So, third choice is correct.
Hope this helps you!