Rectangle R has varying length L and width W but with a constant area of 4 square feet.
a. Express the perimeter P as a function of length L. What type of function is P? What is the domain of P?
b. Describe the asymptotic behavior of P. What can you say about rectangle R because of this behavior?
c. For what values of L and W will the perimeter of R be the least? Give a geometric explanation.
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