SOLUTION: A rancher has 2000 m 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 meters, what is the area?

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Question 1109982: A rancher has 2000 m 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 meters, what is the area?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The side length of this square is 500 m.

500%5E2

250000 square meters

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
A rancher has 2000 m 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 meters, what is the area?
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As it is formulated in the post, the largest area is the circle with the circumference equal to 2000 meters.

But it is not what you really want // (as I suspect).

What you really want is the square, and in order for to get this correct answer, you need to say the word "rectangle" in your condition.

Which you MISSED to say.

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See the lessons
    - A rectangle with a given perimeter which has the maximal area is a square
    - A farmer planning to fence a rectangular garden to enclose the maximal area
in this site.