Question 1154317
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Since you have two different answers from two tutors, I came to bring my THIRD solution 

    (it is a joke, of course : I came to check them).


I consider part (a) only.


In this quadrilateral, we have horizontal diagonal from (-4,2) to (6,2).

It divides the quadrilateral in two triangles.

Their base has the length  10 = 6 - (-4)  units.


The upper triangle has the altitude (the height) of 2 = 4 - 2 units.
So, its area is  {{{(1/2)*10*2}}} = 10 square units.


The lower triangle has the altitude 6 = 2 - (-4) units.
So, its area is  {{{(1/2)*10*6}}} = 30 square units.


Hence, the entire area of the quadrilateral is  10 + 30 = 40 units.


It is the <U>ANSWER</U>  to question (a).
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May I give a fair advise to you ?


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    In the future, NEVER place more than one problem/question to your post.

    It ALWAYS works AGAINST your interests.
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