<PRE><B>Question 420953</B>
Denote x ft the length than the width is (71/2)-x and its area is x((71/2)-x).

  A(x)=-x^2+35.5x Area function is a downward parabola. The maximum value is the  y value of its vertex. x= -b/2a=35.5/2 and y=-(35.5/2)^2+35.5(35.5/2)=315 ft. ( The solution (0,0) is rejected from our real problem)

Answer: The maximum area is approximately 315 square feet.


  



















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