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Answer:
4w+8 feet
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of its sides. Since opposite sides are identical in length, it can be computed as double the sum of adjacent side lengths. Here, the lengths are in feet.
P = 2(L+W)
P = 2((w+4) +w)
P = 4w +8
The perimeter of the patio is 4w+8 feet.