Question

There is a garden in Ram’s house. In the middle of the garden there is

a path. They decided to tile the path using tiles of length 2 feet, 3 feet and 7

feet. The mason tiled the first row with 2 feet tiles, the second row with 3

feet tiles and the third row with 7 feet tiles. The mason has not cut any of

the tiles. Then what is the shortest length of the path​

Answer 1

Given : The mason tiled the first row with 2 feet tiles, the second row with 3  feet tiles and the third row with 7 feet tiles. The mason has not cut any of

the tiles.

To Find :  what is the shortest length of the path​

Solution:

first row with 2 feet tiles,

the second row with 3  feet tiles

the third row with 7 feet tiles.

To Find shortest length of the path​

need to find LCM of  2 , 3 and 7

All three are prime numbers hence LCM

= 2 * 3 * 7

= 42

shortest length of the path​ = 42 feet

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