Question

A rectangular courtyard 4.55 meters long and 5.25 meters wide is paved exactly with square tiles of same size. Find the largest size of the tile used for this purpose?

Answer 1

Answer:

Length of the courtyard = 4.55 m = 455 cm

breadth of the courtyard = 5.25 m = 525 cm

In order to find the largest size of the tiles, 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

Answer 2

SoluTion :-

$\sf {Length = 4.55 \ m \ Or \ 455 \ cm}\\\\\\\sf {Breadth = 5.25 \ m \ Or \ 525 \ cm}$

Now find the HCF (Highest Common Factor) of  455 and 525.

455 = 5 × 7 × 13

525 = 5 × 7 × 5 × 3

HCF = 5 × 7 = 35 cm

∴ Square tiles of sides 35 cm × 35 cm are the largest tiles.