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Susan usually walks her dog around a rectangular park whose longest side is $12\text{ yards}$ and shortest side is $5\text{ yards}$ to reach the library. One day she discovers a path on which she can walk diagonally through the park instead of around it. Her walk to the library used to be a long side and a short side of the park and on her return trip another long side and a short side. Now, she walks to the library on the diagonal path through the park and she returns from the library on the same diagonal path,

How much shorter is her walk?


$4\text{ yards}$


$8\text{ yards}$


$9\text{ yards}$


$13\text{ yards}$


$21\text{ yards}$

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