We built the Trex deck to make it easier to enter the rear of our Home on a hill.
Before,we would walk down the slippery grass,when wet and walk up 7 risers to enter the great Room.
The 16′ x 18′ is very spacious and the low risers on the patio makes a easy walk up hill,when coming from front of home.
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Whatever
I would have run some posts and a beam midspan (read purlin) and gone with two by six for less width