✔ 最佳答案
Assumed that Peter would bend the wire into (a) a square; or (b) a circle,
And also assume that the area of a square is the largest among all polygons and that the area of a circle is the largest among all conics.
(a) If the wire is bent into a square,
One side of the square = 40 / 4 = 10
Area of square = 10 * 10 = 100 (sq. cm.)
(b) If the wire is bent into a circle,
Let r cm. be the radius of the circle.
Thus, 2 * 兀 * r = 40
r = 40 / (2 * 兀) = 20 / 兀
Area of circle = 兀 * r^2
= 兀 * (20 / 兀) ^2
= 400 / 兀
= 400 / 3.1416
= 127.32 (sq. cm.)
We can see that a circle shape will enclose a maximum area.
I have tried my best to help you.
2007-07-29 10:47:54 補充:
The answer is simply (circle).希望幫到你.