the page is clearly 4" wider and higher than the print. That means that
(x-4)(y-4) = 30
y-4 = 30/(x-4)
y = 4+30/(x-4)
The area A is xy, so
A = x(4+30/(x-4))
= x(4(x-4)+30)/(x-4)
= x(4x-16+30)/(x-4)
= 2x(2x+7)/(x-4)
I think the rest is fairly straightforward
A page that is x inches wide and y inches high contains 30 square inches of print. The margins at the top and bottom are 2 inches and the margins on the side are 2 inch wide.
A. show that the total area A on the page is A=2x(2x+7)/(x-4)
B. determine the domain of the function based on the physical constraints of the problem.
C. using your graphing utility to graph the area function and approximate the page size for which the least amount of paper will be used.
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