Help me ASAP for this question
1 answer:
You might be interested in
1 Pretzel and 5 Bags of Popcorn
(WORK SHOWN BELOW)
(WORK SHOWN BELOW)
Let 
and 
be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function 
subject to the constraint 
.
From the constraint, we find
so we can write the area function independently of:
Differentiating and setting equal to zero, we find one critical point:
which means
, so in fact the largest area is achieved with a square fence that surrounds an area of 
.
From the constraint, we find
so we can write the area function independently of
Differentiating and setting equal to zero, we find one critical point:
which means