Patricia wishes to have a rectangular garden in her backyard. she has 60 ft of fencing with which to enclose her garden. letting x denote the width of the garden, find a function f in the variable x giving the area of the garden.

The perimeter of a rectangle is twice ths sum of length and width, so the length of the garden can be described by (30 - x) in feet, where 30 = half the length of the available fence. The area is the product of length and width, so
  f(x) = x(30 -x)

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