Ginas bathroom needs new tile. At the tile store 4 cm x 4 cm squares cost 19 cents each, 8 cm x 8 cm squares cost 73 cents each, and 16 cm x 16 cm squares cost $2.89 each, The bathroom, is 8 ft x 12 ft. Which tile would be the cheapest for Gina to buy?

Answer 1

Let's assume that the cut-off parts of tiles are discarded.
8ft x 12ft = 243.84cm x 365.76cm
So, using the 4cm tiles, Gina will need 60.96x91.44, or
61x92 = 5612 tiles, for a cost of $1066.28

Now find the costs of the other sizes, and compare.

Answer 2

8ft. * 12in/ft * 2.54cm/in. = 243.64 cm.
12ft * 12in/ft * 2.54cm/in = 365.76 cm.
Ab = 243.84 * 365.76 = 89,187 cm^2. = Area of bathroom.

4cm * 4cm Tiles.
Ab/At = 89,187/16 = 5575 Tiles.
Cost = 5575 * 0.19 = $1059.10.

8cm * 8 cm Tiles:
Ab/At = 89,187/64 = 1394 Tiles.
Cost = 1394 * 0.73 =

16cm * 16cm Tiles: