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Corral problem

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Parabola

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I couldn't figure out how to solve this algebraically. I'm not totally sure how to quantify this as an equation to graph, so I can't do that either. How do I translate this world problem into algebra? I don't understand. In any event, with a little bit of trial and error, I found that 3 sides of 100 ft of fence to form a square would give the maximum area. I don't know why; I don't even know if that's true, but it's what I got. Here's an extremely rough visualization of what I came up with.

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wasnt sure how to prove it algebraically. but its 10,000

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I didnt know how to prove it algebraicly

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Sorry it's messy.

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1) Can we assume the barn
is an infinite size because it is undefined?
2) If we graph this, what will it look like and what form will it be in?
3)How can we "prove" our answers?

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Mychal

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1. can i put this on a graph to find the max?
2. whats the algebraic equation to solve this?
3. how do you know if you found the biggest are?

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1.  Could you prove it algebraically by first proving squares have the most area out of all rectangles?
2. What is the most efficient strategy to solve this algebraically? Have we already learned this concept?
3. Does trial and error work best in this case or is there a formula that we can use?

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Can we find a graph-able equation for this problem?
Is there a shortcut we can use to help find the answer?
Does the amount of barn showing affect the area?

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1. Could this be solved with a parabolic function
2. How do you solve this algebraically
3. Why does the area decrease when you make the distance longer and less like a square