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Bill, Kathy, and John are working together to make the following garden plot larger. Bill says, We have to buy more fencing, because it
Bill, Kathy, and John are working together to make the following garden plot larger. Bill says, "We have to buy more fencing, because it we increase the area of the garden, our current fence won't go all the way around. Kathy doesn't think so. "That's not true," she says. "We don't need any more fencing. We can more the fence we have into a different position and still make the area of the garden larger." John disagrees with both Bill and Kathy. "I know a way that we can make the garden larger," he says, "and use less fencing than we currently have." Who do you think is right - Bill, Kathy, John, all of them, or some of them? Explain your reasoning. Include sketches to explain your answer. Make all possible rectangles that have a perimeter of 28. Does one rectangle have a greater area than others? If so, which one?
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