A mason has to fit a bathroom with square marble tiles of the largest possible size The size of the ...

Question

A mason has to fit a bathroom with square marble tiles of the largest possible size The size of the bathroom is 10ft by 8ft What would be the size in inches of the tile required that has to be cut and how many such tiles are required

Accepted Answer

From the question its given that Size of bathroom 10 ft by 8 ft 10 x 12 inch by 8 x 12 inch conversion from ft to inch 120 inches by 96 inch Now the largest size of the tile required will be the HCF of 120 and 96 So Applying Euclids division lemma We get 120 96 x 1 24 96 24 x 4 0 HCF 24 Thus we can conclude that the largest size of tile which required is 24 inches And Number of tiles required area of bathroom area of a tile 120 x 96 24x24 5 x 4 20 tiles Therefore 20 tiles each size 24inch by 24inch are required to be cut

RD Sharma Solutions Class 10 Mathematics Solutions for Real Numbers Exercise 1.2 in Chapter 1 - Real Numbers