Let x and y be the dimensions of the rectangle
Area is xy=20
Perimeter is P=2(x+y)=2(x+20/x)
Differentiate P gives P'(x)=2(1-20/x²)
P'(x)=0 for x=square root of 20
I have a few quick questions for this project i have...
one of them ask:
5. if you wanted the area to be 20 m^2, what would the dimensions of a rectangle to minimize the amount of fencing needed? use a graphing calculator to determine the answer.
-->i remember him saying that the the dimensions is related to the square root of 20. i just don't remember how to get the formula to put it in the calculator and show it...
the whole project's purpose is to show him our knowledge to solve real-life problems that can be analyzed by Graphical, Numerical or Algebraic. [Numerical meaning completing a table of values]
and one question asks: what are the weaknesses and strengths of these strategies?
any help would be appreciated...thank you!