Question

Suppose Mr. Grant decides to buy square tiles that have side lengths of

𝟥𝟦 foot. How many of these tiles will he need to buy?

Answer 1

I don’t have the area to be tiled — can you tell me the size of the floor (or give the total square footage)?

Meanwhile, here is how to compute it once you have that:

- Each tile side = 3/4 ft, so each tile area = (3/4)^2 = 9/16 sq ft.
- If the area to cover is A sq ft and you may cut tiles, the number of tiles needed is
N = ceil(A ÷ (9/16)) = ceil(16A/9).

- If you are not allowed to cut tiles and must use whole tiles in a rectangle L by W ft, then count tiles along each dimension and multiply:
tiles across = ceil(L ÷ (3/4)) = ceil(4L/3),
tiles down = ceil(W ÷ (3/4)) = ceil(4W/3),
so N = ceil(4L/3) × ceil(4W/3).

Give the floor dimensions (or total area) and I’ll compute the exact number.