Given that the length of the pool is 26 feet and the width is 18 feet.
The width of the walk way=c feet.
The width of the wood deck =w feet.
The wood deck is in a rectangle shape.
The length of the wood deck = the length of the pool + 2 times of the width of the walkway+ 2 times of the width of the wood deck.
The length of the wood deck l =26+2w+2c.
The width of the wood deck = the width of the pool + 2 times of the width of the walkway+2 times of the width of the wood deck.
The width of the wood deck w = 16+2w+2c.
The perimeter of the wood deck is
Substitute l=26+2w+2c and w=16+2w+2c, we get
Hence the perimeter of the wood deck is 84+8c+8w
The fourth option is correct.