Problem 2:
A farmer is constructing a rectangular pen for his animals. He wants to enclose a total area of 200 square
meters using one side of the pen as a barn wall. The width of the pen (in meters) is represented by the
quadratic function w(x) = x² - 6x + 8, where x represents the length of the pen. Determine the dimensions of
the pen that will maximize the width.
Solution:
Length of the pen:
meters, Width of the pen:
meters