How do I find the total area of three connected equally sized pens built so as to maximize the area bounded?
3 answers
I'll be glad to help you,but there's no sides or measurement?
Sorry - the total amount of fencing is 240 feet
if the pens have equal width x, and length y, and are connected in a line, with the widths adjoining, then
6y + 4x = 240
x = (120-3y)/2
area a = 3xy
a = 3 (120-3y)/2 y
da/dy = 9(20-y)
a is max when y=20
so, x = 30
3xy = 1800 ft^2
6y + 4x = 240
x = (120-3y)/2
area a = 3xy
a = 3 (120-3y)/2 y
da/dy = 9(20-y)
a is max when y=20
so, x = 30
3xy = 1800 ft^2
2 answers