Question

the floor of a room is 6 metre ,75 cm long and 5 cm wide .it is to be paved with square tiles .Find the largest size of tile needed .​

Answer 1

Length of floor = 675 cm

Breadth of floor = 5 cm

Largest size of square tile = H.C.F. of 675 cm, 5 cm = 5 cm

Answer 2

The largest size of square tile needed is of 5 cm side length

Solution:

The floor of a room is 6 metre ,75 cm long and 5 cm wide

6 meter = 600 cm

It is to be paved with square tiles

To Find the largest size of tile needed , we must find the greatest common factor

FIND GCF OF 600, 75 , 5

The factors of 5 are: 1, 5

The factors of 75 are: 1, 3, 5, 15, 25, 75  

The factors of 600 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Then the greatest common factor is 5.

Thus the largest size of square tile needed is of 5 cm side length

Learn more:

Find the size of the largest square tile needed to pave the floor of a room given the length and breadth of room are 8m and 6m 40 cm. also find the least no. of square tiles needed

https://brainly.in/question/1298852

Find the size of the largest square tile needed to pave the floor of a room, given the length & breadth the room are 8m and 6m 40cm.also find least Number of square tiles needed.

https://brainly.in/question/134450