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? (I only help with parts B and C) 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? (I only help with parts B and C) 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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I only help with parts B and C
what do you have for part A ?
i ask because PartB and C depend on part A

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|dw:1436241409178:dw|
I have P = 2(4+L^2)/L
@mahima2558 do you have the same for part A?
|dw:1436242085909:dw|
\[\large P = \dfrac{2(4+L^2)}{L}\] looks good
so for part b, is L=0 the only asymptote
and I'm not sure what I can say about the rectangle from that
Look at the graph of P |dw:1436239083007:dw|
x axis is L y axis is P
what do you notice in the graph as you increase L ?
P increases?
Yes, what happens if you increase L too much
P also increases and the rectangle looks as if it is a thin line, yes ? |dw:1436239328327:dw|
yes
just explain that in ur own words for part b
also explain what happens to P and how the rectangle looks as you make L very low
ok that makes sense
for part c do i use the graph to find the value of L and W were P would be the least?
that will do!
the minimum value of the graph is (2,8) so that means the length is 2 and the perimeter is 8
so the width would be 2 as well?
ok great, thank you
yw!

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