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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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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