Question 1110552
--------------------------------------------
a) What values of w given an area of 0?
-------------------------------------------


If area were 0 then this would not be any rectangle.


----------------------------------------------
b) what is the maximum area of the enclosure?
----------------------------------------------


Look for the value w in the middle of the two roots.

{{{-2w^2+48w=0}}}

{{{w^2-24w=0}}}

{{{w(w-24)=0}}}

roots or "zeros" are 0 and 24.
The exact middle of these is {{{w=12}}}.
Find {{{A(12)}}}.