MHB How can I get equal columns and rows from a total?

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To determine the number of equal columns and rows from a variable total of cells, the calculation involves using the floor function on the square root of the variable x. For example, if x equals 10, the result is 3 columns and 4 rows, with the last row containing only one value. The formula effectively helps in organizing the cells into a grid format. This method ensures that the layout remains balanced while accommodating the total number of cells. Understanding this calculation is essential for efficient data presentation.
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I have a number of cells (say 10 cells) but that number is a variable.
I have the value of the variable but it's not a 'hard' number. We'll call the variable x.

I need to calculate how many columns I'll have if the columns and rows will be the same, or the columns will be 1 minus (floor) the number of rows.
If the variable x = 10 then the columns would be 3 and there would be 4 rows, the last row would only have a value in the first column.

How can I calculate for the number of columns I need given the variable x?
 
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Duh - floor(square root of x)
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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