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?

Answer 1

SOLUTION :  

Given: Size of bathroom = 10 ft by 8 ft

= (10 x 12) inch by (8 x 12) inch

[1 feet = 12 inches]

Size of bathroom = 120 inch by 96 inch

First we need to find the HCF of 120 and 96 to find the largest size of tile required .

HCF of 120 and 96 ,by applying Euclid’s division lemma (a = bq +r).

120 = 96 x 1 + 24

96 = 24 x 4 + 0

Here remainder is zero

Therefore, HCF = 24

Hence, the largest size of tile required = 24 inches

No.of tiles required = Area of bathroom / Area 1 tile

=(120 x 96) / (24 x 24)

= 5 x 4

No.of tiles required= 20 tiles

Hence, the size in inches of the tile required that has to be cut = 24 inches and number of  tiles required = 20 tiles.

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Answer 2

Answer in attachment

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