Question

The area of the floor in a rectangular kitchen is 209,196 square centimeters. The area of each square tile is 36 square centimeters. How many square tiles are needed to tile the kitchen floor?

Answer 1

`5811` squares are needed to tile the kitchen floor.

Explanation:

We can think of the kitchen floor as tiled by `209196` squares whose side is `1` centimeter long. In general, there can be also fractions of them, but the overall amount of squares of side `1` centimeter is `209196`.

Now we want to tile the floor with square tiles that are made of `36` little squares (so the sides' measure of the tiles is `6` centimeters).
To do this, we can build groups of `36` little squares each using the `209196` little squares. How many groups can we form? To answer this, we divide the total number of squares by the number of squares in each group:

`209196/36=5811`

So we need `5811` square tiles to tile the entire floor.
Depending on the length of the sides of the rectangular area, we could need to cut some (in some cases all) square tiles, in order to perfectly fit the rectangular area.