Answer :
Answer:
The maximum area is 1,600 square meters
Step-by-step explanation:
The complete question is
What is the maximum area possible?
The given function area is modeled by A(w)=-w(w-80)
we know that
The given function is a vertical parabola open downward
The vertex is a maximum
The x-coordinate of the vertex represent the width for the maximum area
The y-coordinate of the vertex represent the maximum area
Convert the quadratic function in vertex form
[tex]A(w)=-w(w-80)\\\\A(w)=-w^{2}+80w[/tex]
Factor -1
[tex]A(w)=-(w^{2}-80w)[/tex]
Complete the square
[tex]A(w)=-(w^{2}-80w+1,600)+1,600[/tex]
Rewrite as perfect squares
[tex]A(w)=-(w-40)^{2}+1,600[/tex] ----> function in vertex form
The vertex is the point (40,1,600)
therefore
The maximum area is 1,600 square meters
Answer:
When there is no width the area is 0m^2
Step-by-step explanation:
I took the quiz.