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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Updated on: 10-Oct-2022

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