Max square size for unknown number inside rectangle

Question

If I have a set of tiles (squares) which can be any number and they are to fill a container (rectangle) of an unknown size how do I work out the maximum size of the tiles wi

Answer 1

x = max(rectHeight/numberOfSquares, rectangleLength/numberOfSquares)

if x <= retangleHeight && x <= rectangleLength then
  squareSideLength = x
else
  squareSideLength = min(rectangleHeight, rectangleLength)