A wooden box in the form of a rectangular prism has a length of 100 \ \mathrm{cm}100 cm, width of 80 \ \mathrm{cm}80 cmand a height of 42 \ \mathrm{cm}42 cm. ​

​​If the cost of painting is \$ 0 . 03$0.03per square centimeter, then the cost of painting the box is

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Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters