Question

(b. A rectangular hall of dimensions 60 feet by
24 feet is to be tiled with square tiles of certain
dimensions. All the tiles have to be of the same
size. Find the largest square tile that can be used
to cover the hall completely.​

Answer 1

Answer:

tile side = 12

Step-by-step explanation:

side of tile square = a

Area = N*(a*a)  

Area = 60*24

factors of 60 = 2^2 . 3^1 . 5^1

factors of 24 = 2^3 . 3^1

factors 60*24 = 2^5 . 3^2. 5^1

N*(a*a) =  2.5.(2^4.3^2)

N = 10, a = 2^2 . 3^1 = 12  

Answer 2

Answer:

tile side = 12

Step-by-step explanation:

side of tile square = a

Area = N*(a*a)  

Area = 60*24

factors of 60 = 2^2 . 3^1 . 5^1

factors of 24 = 2^3 . 3^1

factors 60*24 = 2^5 . 3^2. 5^1

N*(a*a) =  2.5.(2^4.3^2)

N = 10, a = 2^2 . 3^1 = 12  

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