Question

a rectangular Hall of dimensions 60 feet by 24 feet is to be tilled with square tiles of certain dimension.find the largest square tile that can be used to tile the hall completely

Answer 1

60 is the highest factor of 1440 and its less or equal than the fees given

Answer 2

Answer:

Answer is 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