If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
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In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
5 times because with common denominaters(remeber:what you do the top you always do to the bottom or what you do the bottom you do to the top)7/8=21/24 1/6=4/24.21 divided by 4 equals 5.5 but you want a whole loaf of cheese bread not a half so you would round it to 5.
Answer:
no sé pero no se y no se y más no se
