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The perimeter of a rectangular pumpkin patch can be expressed as P=2L+2W. If L=W+8, we can plug in the values accordingly as 120=2(W+8)+2W. This is equal to 120=2W+16+2W, which can be simplified as 120=4W+16. By subtracting 16 to both sides we get 120-16=4W+16-16, or 104=4W. Dividing both sides by 4 gives 104/4=4W/4, or 26=W. Therefore, the width of the patch is 26 feet. To calculate its length, simply use the formula L=W+8. So L=26+8; L=34. Therefore, the length of the patch is 34 feet.

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