Question

A room has the dimension of 18'*12' find the dimension of largest square tiles which can cover the floor exactly. Find the number of such tiles required. How many tiles of dimension 3"*2" will you need to cover the floor exactly?

Answer 1

Answer:

ans-165

Step-by-step explanation:

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

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