the total size of the floor of a room is 6 ⅛. ft in breadth and 1 ²/7 ft in length. Find the number of tiles required to cover the floor if the area of each tile is 2 ⅓ sq.ft
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Length of the floor =8 m 96 cm=896 cm
Breadth of the floor =6 m 72 cm=672 cm
H.C.F. of 896 and 672 is =2×2×2×2×2×7=224
So, the required size of the square tile must be 224×224
Hence, the minimum number of square tiles of the same size needed to cover the floor =
Area of one square tile
Area of the floor
=
(224×224)
(896×672)
=
50176
602112
=12
Hence, 12 square tiles each of 224 cm×224 cm will be needed to cover the entire floor.
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