Finding the numeric value of the function, it is found that the area of the rectangle is of 2400 square feet.
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The area of a rectangle of width w is given by:
[tex]A(w) = -w^2 + 100w[/tex]
In this question, we have a width of 40 ft, thus [tex]w = 40[/tex], and the area is of:
[tex]A(40) = -40^2 + 100(40) = -1600 + 4000 = 2400[/tex]
The area is of 2400 square feet.
A similar problem is given at https://brainly.com/question/24231879
