Paul has recently decided to add ducks and turkeys to his chicken colony. Unfort
ID: 3001590 • Letter: P
Question
Paul has recently decided to add ducks and turkeys to his chicken colony. Unfortunately, the three species do not get along. He has 80 meters of fencing to enclose a rectangular coop and put two parallel fences across it to divide it into 3 smaller coops, all in effort to prevent bird fights. What are the dimisions of the largest coop Paul can enclose ?Explanation / Answer
4b + 2l =80 ==> 2b+l =40 area A = lb = (40-2b)*b = 40b -2b^2 dA/db = 0 ==> 40 -4b =0 ==> b=10 and l = 20 when l =20 and b =10 area enclosed will be maximum 20x 10 dimensions of fence