A bathroom is of length x ^ 2 * y , breadth 2x ^ 2 * y ^ 2 and height x * y ^ 2 . What maximum size of the tiles is required to tile all the four walls of the bathroom without cutting of tiles?
Answers
Given : A bathroom is of length x² * y , breadth 2x² * y² and height x * y² .
To Find : Maximum size of the tiles is required to tile all the four walls of the bathroom without cutting of tiles
Solution:
length x² * y
breadth 2x² * y²
height x * y²
2 walls are of length and height
2 walls are of breadth and height
Maximum size of the tiles = HCF ( length , breadth and height)
= HCF ( x² * y , 2x² * y² , x * y²)
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
HCF = xy
Maximum size of the tiles is required to tile all the four walls of the bathroom without cutting of tiles is xy
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