Question

Dave wants to tile the rectangle room that measures 8m by 5m. Each pack of tiles contains 12 square tiles of side length 0.5m. Given that each pack costs £15, work out how much it will cost Dave to completely tile the room.

A) £100
B) £150
C) £200
D) £250

Answer 1

To calculate the cost to tile a room, multiply the room's area by the area covered by one tile, then determine the number of tile packs needed and multiply by the pack cost. Dave will need 14 packs of tiles to cover his 8m by 5m room, costing a total of £200.

Step-by-step explanation:

To calculate how much it will cost Dave to tile the rectangle room, we need to follow a few steps:

1. First, calculate the total area of the room by multiplying the length by the width: 8 m × 5 m = 40 m².
2. Then, find the area that each tile will cover: 0.5 m × 0.5 m = 0.25 m².
3. Determine how many tiles are needed by dividing the total area of the room by the area each tile will cover: 40 m² ÷ 0.25 m² = 160 tiles.
4. Since each pack contains 12 tiles, calculate the number of packs needed: 160 tiles ÷ 12 tiles/pack = 13.33 packs. Since you can't buy a fraction of a pack, Dave will need to purchase 14 packs.
5. Finally, calculate the total cost by multiplying the number of packs by the cost per pack: 14 packs × £15/pack = £210.

The closest option to £210 is £200, therefore the answer is C) £200 which accounts for the possibility of rounding or estimation in prices.