Question

A floor of a room is 9 m x 6.75 m. It is to be
paved with square tiles of the marble of the
same size. Find the greatest measurement of
tiles. Find least possible number of such tiles

Answer 1

Step-by-step explanation:

for this we need to take out HCF of 9m &6.75m

or

900cm & 675cm

900= 2*5*2*5*3*3

675=3*3*5*5*3

HCF=3*3*5*5

=225

Answer 2

Answer:

The correct answer to this question is:

the greatest measurement of tiles = 225 cm = 2.25 m

The least possible number of such tiles  = 27

Step-by-step explanation:

Given, A floor of room 9 m × 6.75 m.

The total area of the floor = 60.75 m

To find the greatest measurement of the tile, we need to find an HCF of 9 m and 6.75 m

the greatest measurement of tile = HCF of 900 and 675

900 = 9 * 100

= 3 * 3 * 4 * 25

= 3 * 3 * 2 * 2 * 5 * 5

675 = 3 * 225

= 3 * 3 * 75

= 3 * 3 * 3 * 25

= 3 * 3 * 3 * 5 * 5

HCF of 900 and 675 = 3 * 3 * 5 * 5

= 9 * 25

= 225

Hence, the greatest measurement of tiles = 225 cm = 2.25 m

Least possible number of such tiles

= ( total area ) / ( greatest measurement of tiles )

= 60.75 / 2.25

= 27

The least possible number of such tiles  = 27

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