A floor that measures 225 cm in length and 125 cm in breadth is to be laid with identical square tiles. If the tiles cover the area completely, find the dimension of the largest tile that can be used in this scenario

1 cm

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20 cm

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25 cm

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50 cm

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Solution

The correct option is C 25 cm
In order to find the dimension of the largest tile that can be used in this scenario, we have to find the HCF of 225 and 125.

225 = 125 × 1 + 100

125 = 100 × 1 + 25

100 = 25 × 4

The HCF of 225 and 125 is 25. Hence, the dimension of the largest tile that can be used in this scenario is 25 cm.

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