Question 1019483
A rancher has 2000m of wire fencing, and he wants to use this to fence off the largest possible area for some of his horses to graze.
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The largest area for a given perimeter is a circle.
C = 2pi*r = 2000
r = 2000/(2pi) = 1000/pi
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Area = pi*r^2 = pi*(1000/pi)^2 = 1000000/pi) sq meters
=~ 318310 sq meters.
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The largest rectangular area is a square.
---> 500 by 500 meters
= 250000 sq meters
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I can provide a proof if needed.