The maximum number of tiles that Luke can fit along one side of the patio is 11 tiles.
What is a square?
A square is a closed quadrilateral , two-dimensional shape with 4 equal sides. All four sides of a square are equal and parallel to each other. All the four angles are equal to 90 degrees.
For the given situation,
Total number of square-shaped tiles that will cover the entire patio = 121
From this the area of the patio = 121
The formula of area of square, \(A = side^{2}\)
Thus the maximum number of tiles that Luke can fit along one side of the patio can be found by
⇒ \(121=side^{2}\)
⇒ \(side=\sqrt{121}\)
⇒ \(side=11\)
Hence we can conclude that the maximum number of tiles that Luke can fit along one side of the patio is 11 tiles.
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