Answer:
The maximum area is 1,600 square meters
Step-by-step explanation:
<u><em>The complete question is</em></u>
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
Factor -1
Complete the square
Rewrite as perfect squares
----> function in vertex form
The vertex is the point (40,1,600)
therefore
The maximum area is 1,600 square meters