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A Mason lays square tiles on a wall 8 m by 12 m. Find the largest size of square tile, that he can fit in the wall without cutting a whole tile.
Given :
Measurement of the wall is 8 m by 12 m.
To do :
We have to find the largest size of square tile, that can fit in the wall.
Solution :
Area of the wall $=8 m \times 12m = 96 sq.m$.
The largest size of the square tile that can fit in the wall without cutting a whole tile is equal to the HCF of 8 and 12.
HCF of 8 and 12 is,
$8=2 \times 2\times 2$
$12=2\times 2\times 3$
HCF of 8 and 12$=2 \times 2=4$
Therefore, the largest size of the square tile that can fit in the wall without cutting a whole tile is 4 m.
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