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Geraldine has 200 feet of fencing. She wants to fence in a rectangular area. Which function A(w) represents the area of land that can be fenced in if the width of the rectangular area is w?

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thaovtp1407

Answer:

A(w) = - [tex]w^{2}[/tex] + 100w

Step-by-step explanation:

First,  we need to find down the length (l) of the rectangular area in term of w

We have 200 feet of fencing is the perimeter of the rectangular area, which mean:

2 (w + l) = 200

<=> l = 100-w

But the area of land: w*l

= w (100-w)

=- [tex]w^{2}[/tex] + 100w

So, A(w) = - [tex]w^{2}[/tex] + 100w  

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