Question
How do I find the total area of three connected equally sized pens built so as to maximize the area bounded?
Answers
jean
I'll be glad to help you,but there's no sides or measurement?
Don
Sorry - the total amount of fencing is 240 feet
Steve
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