A man has to fit a bathroom with square tiles of largest possible size. The size of the bathroom is 5m by 4m. What would be the size of tile required and how many such tiles are required?
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1m would be the size of the tile
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Given:
Size of bathroom = 10 ft. by 8 ft.
= (10 x 12) inch by (8 x 12) inch [conversion from ft. to inch.]
= 120 inch by 96 inch
Now, the largest size of tile required will be the HCF of 120 and 96.
Let's Solve:
So, Applying Euclid’s 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 of size 24inch by 24inch are required to be cut.
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