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For a T-bar ceiling system, how many 600 mm x 1 200mm (2' x 4') ceiling tiles would be required in a room measuring 4 670 mm x 5 800 mm (14' 7" x 18' 4")?

38

To determine the number of 600 mm x 1200 mm (2' x 4') ceiling tiles needed for a room measuring 4670 mm x 5800 mm, you first calculate the total area of the room and the total area of one tile.

Start with the room dimensions:

- Room area = Length x Width = 4670 mm x 5800 mm = 27,086,000 mm².

Next, calculate the area of one ceiling tile:

- Tile area = 600 mm x 1200 mm = 720,000 mm².

Now, find the number of tiles required by dividing the room area by the tile area:

- Number of tiles = Room area / Tile area = 27,086,000 mm² / 720,000 mm² ≈ 37.5.

Since you can't have a fraction of a tile, you will round up to the nearest whole number, which means you need 38 tiles to cover the entire area of the ceiling.

Thus, the correct answer is 38 tiles, as it accounts for the necessary coverage without requiring partial tiles.

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