A tile layer is laying tiles on a square wall of sides 2metres. If each tile measures 20cm by 20cm,calculate:
1. The number of tile required to tile the entire wall.
2. The cost of the tiles if they are sold at $2.00 each.
Is it
A=SxS
2mx2m=4m
1m=100cm
=400/20=20tiles
total area = 4 m^2
one tile is 0.2*0.2 = 0.04 m^2 per tile
so
4/.04 = 100 tiles
100 tiles * 2 dollars/tile = 200 dollars
To calculate the number of tiles required to tile the entire wall, we need to determine the total area of the wall and then divide it by the area of a single tile.
1. Calculation for the number of tiles required:
- First, let's convert the side length of the wall from 2 meters to centimeters. As there are 100 centimeters in one meter, the side length of the wall is 200 cm.
- The area of the wall can be calculated by multiplying its length by its width: 200 cm × 200 cm = 40,000 cm².
- Now, we need to calculate the area of a single tile. As each tile measures 20 cm by 20 cm, the area of one tile is 20 cm × 20 cm = 400 cm².
- To find the number of tiles required, we divide the total area of the wall by the area of one tile: 40,000 cm² ÷ 400 cm² = 100 tiles.
Therefore, 100 tiles are required to tile the entire wall.
2. Calculation for the cost of tiles:
- Given that each tile costs $2.00, we need to multiply the number of tiles by the cost of one tile: 100 tiles × $2.00 = $200.
Hence, the cost of the tiles for tiling the entire wall would be $200.