Rahul decided to tile the path from his house to the garage with the tiles of length 3 ft 4 ft 5 ft the mason tiled the first row with 5 ft tiles second row with 3 ft tiles and third row with 4 ft tiles without cutting any of the tiles what can be the shortest length of the path
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Given : Rahul decided to tile the path from his house to garage with the tiles of length 3 ft, 4 ft and 5 ft.
tiled the first row with 5 ft tiles, second row with 3 ft tiles and third row with 4 ft tiles without cutting any of the tiles.
To Find : What can be the shortest length of the path?
Solution:
To Find the shortest length of the path so that no tile of 3 ft , 4ft anf 5ft length is cut
We need to find LCM of ( 3 , 4 , 5)
3 = 3 x 1
4 = 2 x 2
5 = 5 x 1
LCM = 2 x 2 x 3 x 5 = 60
Minimum length of path = 60 ft
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