Question 892291
.



            The answer and the solution by  @ThePenguin are both incorrect.




The correct answer is 12*24 = 288 square meters for the area.


The optimum dimensions are 12 m width and 24 meters length (along the wall).


See the lesson

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

in this site.