The area of the garden is the product of its width and its length
The given parameters are:
Perimeter = 36 feet
f(w) = w(36 - 2w)
The second expression above represents a function whose input is w; i.e. function w or f(w)
Next, we plot the graph of f(w) using a graphing calculator
See attachment for the graph of f(w)
Read more about areas at:
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