Question

Luke is tiling a square patio in his backyard. He has 121 square-shaped tiles that will cover the entire patio. The maximum number of tiles that Luke can fit along one side of the patio is____?

Answer 1

11 squares, because if it's square then both sides are equal, and 11 x 11 is 121.

Answer 2

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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