Problema Solution
What is the maximum area that can be enclosed by 12 feet of fencing if a), the segments are linear and b) if the segments are curvilinear?
Answer provided by our tutors
a) The maximum area happens with a square. The side of the square would be 12 / 4 = 3 ft. The area is 3 * 3 = 9 ft^2
b) The maximum area happens with a circle. The circumference is 12 ft = 2 * pi * R. So, the radius is R = 6 / pi ft. The area will be pi R^2 = pi *(6 / pi)^2 = 36 / pi