✔ 最佳答案
You are correct, 24pi/(4 + pi) is a minimum, not a maximum, so this is not the answer ( don't understand why the book said this is the answer ??)
Consider the following:
(1) 24 m is used totally to make a circle, radius = 12/pi, so area = pi(12/pi)^2 = 144/pi = 45.8 m^2.
(2) 24 m is used totally to make a square, side = 24/4 = 6, area = 36.
(3) 24pi/(4 + pi) is used to make a circle, balance to make a square, total area = 20.2.
so case (1) is the answer.
When facing problems like this one, you have to consider the end- points for correct answer.
2009-08-18 07:12:20 補充:
To find the end - points, put x = 0 and x = 24 into the equation for area.