Question

3. Suppose you wish to fence in a rectangular plot of land using the side of a building instead of fencing along one side. You have 120 linear feet of fence. What are the dimensions of the plot of largest possible area (in square feet) you can fence in? a. Draw a picture and declare the variables. b. Set up a function to maximize in terms of just one variable. c. Find the maximum of your function with either the first or second derivative test. d. Find the dimensions of the plot. Check that your answer makes sense.

          3. Suppose you wish to fence in a rectangular plot of land using the side of a building instead of fencing along one side. You have 120 linear feet of fence. What are the dimensions of the plot of largest possible area (in square feet) you can fence in?

a. Draw a picture and declare the variables.
b. Set up a function to maximize in terms of just one variable.
c. Find the maximum of your function with either the first or second derivative test.
d. Find the dimensions of the plot. Check that your answer makes sense.

3. Suppose you wish to fence in a rectangular plot of land using the side of a building instead of fencing along one side. You have 120 linear feet of fence. What are the dimensions of the plot of largest possible area (in square feet) you can fence in?

a. Draw a picture and declare the variables.
b. Set up a function to maximize in terms of just one variable.
c. Find the maximum of your function with either the first or second derivative test.
d. Find the dimensions of the plot. Check that your answer makes sense.

Added by Charles B.

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