Answer:
The number of tiles needed is 1.105.[tex]\overline 3[/tex] tiles
Step-by-step explanation:
The given data on the dimensions of the bathroom wall are;
The length, l = 2.5 m
The width, w = 2.05 m
The height, h = 3 m
The dimension of the tiles with which the walls are to be covered = 15 cm by 15 cm
The dimensions of the tiles in meters = 0.15 m by 0.15 m
The number of tiles savings made on the doors and windows of the bathroom = 108 tiles
Let 'A' represent the surface area of the bathroom wall, we have;
A = h·w + h·w + l·h + l·h = 2·h·w + 2·l·h = 2·h·(w + l)
∴ A = 2 × 3 m (2.5 m + 2.05 m) = 27.3 m²
The surface area per tile, Tₐ = 0.15 × 0.15 = 0.0225
∴ Tₐ = 0.0225 m²/tile
The number of tiles needed, n = A/Tₐ - 108 tiles
∴ n = 27.3 m²/(0.0225 m²/tile - 108 tiles = [tex]\left (1105+\dfrac{1}{3} \right )[/tex] tiles = 1.105.[tex]\overline 3[/tex] tiles
The number of tiles needed, n = 1.105.[tex]\overline 3[/tex] tiles.
