Question 42

A courtyard 4.55 m long and 5.25 m broad is paved with square tiles of equal size. What is thelargest size of tile used?

Solution

L of the courtyard = 4.55 m = 455 cm

B of the courtyard = 5.25 m = 525 cm

Now , we need to find the HCF of 455 and 525

Now,

455 = 13 × 7 × 5

525 = 5² × 7 × 3

HCF of 455 and 525 = 5 × 7 = 35

Therefore,

the largest size of the tile used = 35 cm

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