Respuesta :

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!