A conference hall of 6 m × 4 m is to be tiled using 60 cm × 40 cm tiles. How many are needed?
100
Given: hall dimensions 6 m × 4 m, tile dimensions 60 cm × 40 cm. We need the number of tiles.
Number of tiles = (area of the hall) ÷ (area of one tile), with all measurements in the same units.
Area of the hall \(= 6 \times 4 = 24 \text{ m}^2\).
Convert the tile to meters: \(60 \text{ cm} = 0.6 \text{ m}\) and \(40 \text{ cm} = 0.4 \text{ m}\).
Area of one tile \(= 0.6 \times 0.4 = 0.24 \text{ m}^2\).
Number of tiles \(= \frac{24}{0.24} = 100\).
Hence the number of tiles needed is 100.
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