Question: 1. Find the length and width of a rectangle that has Area 'A' square centimeters and a minimum perimeter. An open box of maximum volume

  1. 1. Find the length and width of a rectangle that has Area 'A' square centimeters and a minimum perimeter.
  2. An open box of maximum volume is to be made from a square piece of material, 30 inches on a side, by cutting equal squares from the corners and turning up the sides.

a. Write the Volume as a function of x.

b. Use Calculus to determine the maximum value of x creating the maximum volume of the open box.

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