Question

A wall measuring 3 m by 5 m is to be covered with tiles that are 20 cm squares. A box of 10 tiles costs £8.95. How much will it cost to buy the tiles for the wall?

A) £26.85
B) £44.75
C) £89.50
D) £179.00
E) £2,685.00

Answer 1

To calculate the cost of the tiles for the wall, find the total area of the wall, determine the number of tiles needed, and multiply by the cost per box.

Step-by-step explanation:

To calculate the cost of the tiles for the wall, we first need to find the total area of the wall. The wall measures 3 m by 5 m, so the total area is 3 m * 5 m = 15 square meters.

Next, we need to determine how many 20 cm squares can fit in the wall. Since the length and width of the square tile are both 20 cm, the area of each tile is 20 cm * 20 cm = 400 square centimeters.

To convert the area of the wall to square centimeters, we multiply 15 square meters * 10000 square centimeters/square meter = 150000 square centimeters.

Now, we divide the total area of the wall by the area of each tile to find the number of tiles needed. 150000 square centimeters / 400 square centimeters/tile = 375 tiles.

Finally, we calculate the cost by dividing the total number of tiles by the number of tiles per box. 375 tiles / 10 tiles/box = 37.5 boxes.

To find the cost, we multiply the number of boxes by the cost per box. 37.5 boxes * £8.95/box = £334.12.