In terms of area a square of side 12.5 mtrs.
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You can make a rectangle by using two squares
You can make 6
let say a is the width and b is the length then 2(a+b)=30 or (1)a+b=30 and the biggest rectangle is the one having the biggest area So (2) A=axb should be max From (1) a=30-b then using (2) A=(30-b)*b = 30b-b2 So the next point is to study the function f(x)=30x-x2 it's derivative is f'(x)=30-2x which change sign at 30/2=15 so 15 is the maximum The maximum area is 225, b=15 then a=15 Then the biggest rectangle with a perimeter of 30 is a square!
359 degrees......
A train but with a big rectangle.