Answer:
Looking at the given points we know that it is going to be rectangle because we have 4 points. Therefore the figure is a rectangle and the area formula would be [tex]A=l*w[/tex].
You can look at the attached graph and what we see is that our width of the rectangle is from [tex]y=-4[/tex] to [tex]y=3[/tex] which means that our height is 7 units wide. We can also see that our length starts at [tex]x=-1[/tex] and ends at [tex]x=4[/tex] making us have a length of 5 units.
We then plug in the values and solve
[tex]A = 7\ units * 5\ units[/tex]
[tex]A = 35\ units^2[/tex]
Therefore, the area of our rectangle is [tex]35\ units^2[/tex]
Hope this helps! Let me know if you have any questions
