A rectangular courtyard is 5 m 25 cm long and 3 m 36 cm broad. It is p

1.	A rectangular courtyard is 5 m 25 cm long and 3 m 36 cm broad. It is paved with square tiles ofthe same size. What is the largest size of the tile that can be used. Also find the number of suchtiles, and cost at Rs 20 per tile.
Answer» Answer: BREADTH of a rectangular COURTYARD =3.78m=378cm Length of a rectangular courtyard =5.25m=525cm Now, we have to find H.C.F os 378 and 525 378=2×3×3×3×7 525=5×5×3×7 Common factore=3×7 ∴ H.C.F=21 Hence largest size of SQUARE tiles that can be paved EXACTLY with square tiles is 21cm.

A rectangular courtyard is 5 m 25 cm long and 3 m 36 cm broad. It is paved with square tiles ofthe same size. What is the largest size of the tile that can be used. Also find the number of suchtiles, and cost at Rs 20 per tile.

Answer»

Answer:

BREADTH of a rectangular COURTYARD =3.78m=378cm

Length of a rectangular courtyard =5.25m=525cm

Now, we have to find H.C.F os 378 and 525

378=2×3×3×3×7

525=5×5×3×7

Common factore=3×7

∴ H.C.F=21

Hence largest size of SQUARE tiles that can be paved EXACTLY with square tiles is 21cm.