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A Mason has to fit a …

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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 & how many such tiles are required?
  • 1 answers

Sia ? 6 years, 5 months ago

Given: Size of bathroom = 10 ft by 8 ft.
= (10 {tex}\times{/tex} 12) inch by (8 × 12) inch
= 120 inch by 96 inch
Area of bathroom = 120 inch by 96 inch
To find the largest size of tile required , we find HCF of 120 and 96.
By applying Euclid’s division lemma
120 = 96 {tex}\times{/tex} 1 + 24
96 = 24 {tex}\times{/tex} 4 + 0
Therefore, HCF = 24
Therefore, Largest size of tile required = 24 inches
no.of tiles required {tex} {\text{ = }}\frac{{{\text{area of bathroom}}}}{{{\text{area of 2 tile}}}} = \frac{{120 \times 96}}{{24 \times 24}} = 5 \times 4{/tex} = 20 tiles
Hence number of tiles required is 20 and size of tiles is 24 inches.

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