Question 1144201
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It is a well known fact that a rectangle with a given perimeter, which has maximum area, is a square.


For the proof of this fact see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/A-rectangle-with-the-given-perimeter-which-has-the-maximal-area-is-a-square.lesson>A rectangle with a given perimeter which has the maximal area is a square</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/A-farmer-planning-to-fence-a-rectangular-garden-to-enclose-the-maximal-area.lesson>A farmer planning to fence a rectangular garden to enclose the maximal area</A>

in this site.


Based on this fact, the maximum area will be reached for a square with the side length of  {{{74/2}}} = 37 ft.


The length and the width of this rectangle are  37 ft each.    <U>ANSWER</U>
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