A rectangular page is to have a printed area of 62 square inches. If the border is to be 1 inch wide on top and bottom and only 1/2 inch wide on each side find the dimensions of the page that will use the least amount of paper
Can someone explain how to do this?
I started with:
$A = (x + 2)(y + 1) $
Then I isolate y and come up with my new equation:
$A = (x+2)\left(\frac{62}{x + 2}{-1}\right)$
Then I think my next step is to create my derivative, but wouldn't it come out to -1?
Anyways, I would appreciate if someone could give me a nudge in the right direction.
EDIT
How does this look for a derivative?
$A = \left(\frac{x^2-124}{x^2}\right)$
Then to solve: $ {x} = 11.1 $
$ y = 98 / 11.1 $
Does that seem about right?
If not, the only thing I would have left is setting it to 0 and solving.