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

Correct option is C

Given:

Length of the courtyard = 4.55 m

Breadth of the courtyard = 5.25 m

Concept Used:

To find the largest size of the square tile, we need to determine the highest common factor (HCF) of the length and breadth of the courtyard.

Solution:

4.55 m = 455 cm

5.25 m = 525 cm

Factorization of 455: 455 = 5 × 7 × 13

Factorization of 525: 525 = 5 × 3 × 5 × 7

The common factors are 5 and 7. Therefore, HCF = 5 × 7 = 35 cm

The largest size of the tile that can be used is 35 cm.