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https://math.answers.com/other-math/Can_there_be_a_Square_with_area_of_5_on_grid_paper

Can there be a Square with area of 5 on grid paper? - Answers

Yes and no. A square by definition has sides of equal length and the area of a square is just 2 sides multiplied together (x*x=x2). So in the case of a square with area of 5 each side would be length sqrt(5). Now the sqrt(5) is an irrational number, so there is no way that the manufacture of "grid" would break the spacing of the grid such that it divides evenly into an irrational number. However, nothing stops you from drawing the square on the page and defining the length of the side to be exactly sqrt(5).



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Can there be a Square with area of 5 on grid paper? - Answers

https://math.answers.com/other-math/Can_there_be_a_Square_with_area_of_5_on_grid_paper

Yes and no. A square by definition has sides of equal length and the area of a square is just 2 sides multiplied together (x*x=x2). So in the case of a square with area of 5 each side would be length sqrt(5). Now the sqrt(5) is an irrational number, so there is no way that the manufacture of "grid" would break the spacing of the grid such that it divides evenly into an irrational number. However, nothing stops you from drawing the square on the page and defining the length of the side to be exactly sqrt(5).



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https://math.answers.com/other-math/Can_there_be_a_Square_with_area_of_5_on_grid_paper

Can there be a Square with area of 5 on grid paper? - Answers

Yes and no. A square by definition has sides of equal length and the area of a square is just 2 sides multiplied together (x*x=x2). So in the case of a square with area of 5 each side would be length sqrt(5). Now the sqrt(5) is an irrational number, so there is no way that the manufacture of "grid" would break the spacing of the grid such that it divides evenly into an irrational number. However, nothing stops you from drawing the square on the page and defining the length of the side to be exactly sqrt(5).

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      Yes and no. A square by definition has sides of equal length and the area of a square is just 2 sides multiplied together (x*x=x2). So in the case of a square with area of 5 each side would be length sqrt(5). Now the sqrt(5) is an irrational number, so there is no way that the manufacture of "grid" would break the spacing of the grid such that it divides evenly into an irrational number. However, nothing stops you from drawing the square on the page and defining the length of the side to be exactly sqrt(5).

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