Suppose that barbed-wire fencing costs $10,000 per mile to set up. How much would it cost to fence a single property whose area is one square mile if that property also happens to be perfectly square, with sides that are each one-mile long? How much would it cost to fence exactly four such properties, which together would contain four square miles of area? Now, consider how much it would cost to fence in four square miles of ranch land if, instead, it comes as a single large square that is two-miles long on each side. Which is more costly—fencing in the four, one-square-mile properties or the single four-square-mile property?
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