The length of one side of the patio is 18 ft.
Let L represent the length of the patio. So, the area of the patio, A = L².
Since Nathan has 324 tiles that each measure 1 square foot, and he places the tiles to make a square shaped patio, the total area of the patio = area of one tile × number of tiles = 1 ft² × 324 tiles = 324 ft².
Since A = 324 ft²,
L² = 324 ft²
So, taking square-root of both sides, we have
L = √324 ft²
L = 18 ft
So, the length of one side of the patio is 18 ft.
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