Final answer:
The cost for Mrs. Rogers to tile her bathroom wall is calculated by finding the area of the wall, dividing that by the area of a single tile, finding out how many boxes are needed, and multiplying by the cost per box. The correct calculation results in £288, although this option is not listed in the given choices.
Step-by-step explanation:
Mrs. Rogers needs to tile her bathroom wall which is 360 cm long and 240 cm high. The first step is to calculate the area of the wall. To do this, we multiply the length by the height:
Area = Length × Height = 360 cm × 240 cm = 86400 cm2
Next, we calculate the area of a single tile which is 20 cm by 20 cm:
Tile Area = 20 cm × 20 cm = 400 cm2
To find out how many tiles are needed, we divide the total area of the wall by the area of one tile:
Number of Tiles = Area of Wall / Area of Tile = 86400 cm2 / 400 cm2 = 216 tiles
Since tiles are sold in boxes of 6, we divide the number of tiles by the number in a box:
Number of Boxes = Number of Tiles / Tiles per Box = 216 / 6 = 36 boxes
Finally, to find the total cost, we multiply the number of boxes by the cost per box (£8):
Total Cost = Number of Boxes × Cost per Box = 36 × £8 = £288
The correct answer is not listed among the options given, as the calculation results in £288. It is important to ensure