I need help with this calculus problem.

[MrHanazawa10]

A buyer is to take a plot of land fronting a street, the plot is to be rectangular and three 3 times its frontage added to twice its depth is to be 96 meters. What is the greatest number of square meters be may take?


My answer is 384 sq m. Can you please check? Show solution.

 

[Deleted member 4993]

A buyer is to take a plot of land fronting a street, the plot is to be rectangular and three 3 times its frontage added to twice its depth is to be 96 meters. What is the greatest number of square meters be may take?


My answer is 384 sq m. Can you please check? Show solution.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment - not only the answer.