A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 4-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 950 ft$^2$ (including the margins).
If $x$ denotes the width (in feet) of the billboard, find a function in the variable $x$ giving the area of the printed region of the billboard.
Area, as a function of $x = \frac{(x-8)(\frac{950}{x}-10)}{x}$
Determine the domain of the function for area. Enter your answer using interval notation.
Domain of the function for area = $(8, 95/5)$