Answer
$A=xy=\dfrac{2x(2x+7)}{x-4}$
Work Step by Step
We have: $30=(y-2(2))(x-2(2))$
$\implies 30=(y-4)(x-4)$
So, $y=\dfrac{30}{x-4}+4$
Now, $y=\dfrac{4x+14}{x-4}$
or, $xy=4x+4y+14$
or, $xy=4x+4(\dfrac{4x+14}{x-4}) +14$
Thus, $A=xy=\dfrac{2x(2x+7)}{x-4}$
