Question

the dimension of the floor is 27 feet by 18 feet and Square tiles have to be fitted on it find how many largest possible size of such square tiles are required​

Answer 1

Answer:

9 feet is the largest possible side of the square fixed.

Step-by-step explanation:

The dimension of the floor are:

27= 3^3

18 = 3^2 * 2

Therefore, the HCF = 3^2 = 9

This means, that the maximum possible side length of the square tile is 9 feet.

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Answer 2

Answer:

Size of bathroom = 10ft by 8ft

= (10 × 12) inch by (8 × 12) inch

= 120 inch by 96 inch

The largest size of tile required = HCF of 120 and 96 By applying Euclid’s division lemma

120 = 96 × 1 + 24

96 = 24 × 4 + 0

∴ HCF = 24

∴ Largest size of tile required = 24 inches

No. of required tiles = 120×96/24×24

= 5×4

=20 tiles