Question 55

What is the least number of square tiles required to pave the floor of a room 15m 17cm long and 9m 43cm broad?

Solution

1m = 100cm

15m 17cm = 1517 cm
9m 43cm = 943 cm

1517 = $$41\times37$$

943 = $$41\times23$$

HCF of 1517 and 943 is 41.

The area of room = $$1517\times943$$ Eq.(i)

area of square tile = $$41\times41$$ Eq.(ii)

number of tiles needed = $$\frac{Eq.(i)}{Eq.(ii)}$$

= $$\frac{1517\times943}{41\times41}$$

= $$37\times23$$

= 851

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