Rectangle R has varying length l and width w but a constant area of 4ft^2.

A. express the perimeter P as a function of L. What kind of function is P? What is its domain?

B. Describe the asymptotic behavior of P. What can you say about R because of this behavior? Could you have made a similar statement about R in task 1?

C. For what values of L and W will the perimeter of R be least? Give a calculator based argument. Give a geometric argument.

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Question

Rectangle R has varying length l and width w but a constant area of 4ft^2.

A.  express the perimeter P as a function of L.  What kind of function is P? What is its domain?

B.  Describe the asymptotic behavior of P.  What can you say about R because of this behavior? Could you have made a similar statement about R in task 1?

C.  For what values of L and W will the perimeter of R be least?  Give a calculator based argument.  Give a geometric argument.

@mathmale

liv1234 · Answer

@mathmale