Question

The length of the hall is 'l' units and its breadth is 'b' units. The entire floor of the hall has to be covered with square tiles. If the tiles cannot be broken for use and if each tile’s side length is a whole number, what would be the maximum possible side length of a tile that can be used?

Answer 1

Step-by-step explanation:

let the side of tile be a units and no. of tiles needed be n units.

now

n = area of floor/ area of 1 tile

n = l x b / a²

on solving,

a = (l×b/n)½ = max possible side length of a tile that can be used