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Calculate the shortest distance from one corner to another corner

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A city block, 500 ft by 500 ft has a large building 300ft by 300ft in the exact center. The rest of the block is an unobstructed paved lot. What is the shortest distance from the SW corner to the NE corner of the city block, going through the paved lot?

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The shortest distance from one corner to another corner is calculated. The solution is detailed and well presented.

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