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Rectangle R has varying length L and width W but with a constant area of 4 square feet.

AExpress the perimeter P as a function of length L. What type of function is P? What is the domain of P?
BDescribe the asymptotic behavior of P. What can you say about rectangle R because of this behavior?
CFor what values of L and W will the perimeter of R be the least? Give a geometric explanation.

Verified Answer :

A is area & constant 
A=4
wL=A; perimeter is p; p= 2w + 2L
w= A/L allows for p=2 x(multiplication) (A/L) + 2L

Domain for p is L>0

Knowing that A=4, p=2 x(multiplication) (A/L) + 2L
p= 8/L + 2L

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