Question

What is the minimum number of square marble tiles required to tile a floor of length 2 m 56cm and 3m36cm

Answer 1

Answer:

Correct option is

B

165

We first need to calculate HCF of the dimensions of the floor.

8m70cm=870cm and 6m38cm=638cm

Finding HCF of 870;638, we have

Prime Factorisation of 870=2×3×5×29

638=2×11×29

We then choose each common prime number with the least power and multiply them to get the HCF.

=>HCF=2×29=58

So the dimensions of each square till be 58cm

Now, least number of square tiles required =

Areaofeachtile

Areaofthefloor

=

58×58

870×638

=165