Question

Rahul decided to tile the path from his house to garage with the tiles length 3ft,4ft and 5ft The mason tiled the first row with 5ft, second row with 3ft tiles and third row with 4ft tiles without cutting any of the tiles what can be the shortest length of the path​

Answer 1

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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