Area of the rectangular hall = length × breadth
= 12 × 6
= 72 sq.m.
Side of the square shaped tile = 30 cm
= 30/100 m …[1cm = 1/100 m]
= 3/10 m
Area of the tile = (side)2
= (3/10)2
= 9/100 sq.m
Number of tiles required = (Area of the hall)/(Area of each tile)
= 75 ÷ 9/100
= 72 x 100/9
= 800
∴ 800 square shaped tiles of 30 cm side will be required.
If the side of the square is reduced to half, its area will become 1/4 times the original.
i. e. number of tiles required will become 4 times the original tiles.
∴ Number of tiles required = 4 × number of tiles of side 30 cm
= 4 × 800
= 3200
∴ 3200 square shaped tiles of 15 cm side will be required.