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Question
A rectangular hall is 12 m long and 6 m broad. Its flooring is to be made of square tiles of side 30 cm. How many tiles will fit in the entire hall? How many would be required if tiles of side 15 cm were used?
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Solution
Hall length = 12 m = 12 × 100 = 1200 cm
Hall breadth = 6 m = 6 × 100 = 600 cm
∴ Hall area = length × breadth
= 1200 × 600
∴ Hall area = 720000 cm2
Now,
Area of tile (side 30 cm) = (side)2
= (30 cm)2
= 900 cm2
∴ Total no. of tiles required = `"Hall area"/"Area of tile"`
= `720000/900`
= 800 tiles
Now,
If the side of the tile is 15 cm then its area = (15)2
= 225 cm2
∴ Total no. of tiles required = `720000/225`
= 3200 tiles
Hence,
When the side is 30 cm, then tiles = 800 tiles,
and side 15 cm the tiles = 3200 tiles.
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