Question 263940: If 100 feet of fence is used to enclose a rectangular yard, find the length and the width that give max area.
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! If 100 feet of fence is used to enclose a rectangular yard, find the length and the width that give max area.
As you can see from the below table, a square will always have the max area.
In fixed perimeter problems, greatest areas are found in the regular shapes that have equal sides, such as equilateral trianges, squares and so on. This can be mathematically proven, but am not going to go into that.
L W P A
1 49 100 49
...
20 30 100 600
...
24 26 100 624
25 25 100 625
26 24 100 624
27 23 100 621
28 22 100 616
29 21 100 609
30 20 100 600
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