
optimization problem
question:
find the length and width of a rectangle that has the given perimter and a maximum area
data given:
perimeter = 80meters

any help?
2l+2w=80 < put in terms of either variable???
i got [802w/2] = Length
and i plugged this into the equation for the area of a rectangle...
Area = L*W

area = [802w/2] * W
then i differentiate area = [802w/2] * W and find the critical numbers and get the maximum.....am i doing this correct lol?

Quote:
Originally Posted by
nuclear123
area = [(802w)/2] * W
yes ... it might make things easier if you simplify as you go along.
$\displaystyle A = (40w)w$