SOLUTION: 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. In square metres, the area is........

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. In square metres, the area is........
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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.
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