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Find the least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad.

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This is the basic and conceptual question from real numbers chapter in which we have given the length and breadth of a room and we have been asked to find the required number of square tiles for paving the room.

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1B, question no 23


1 Answer

  1. Given, length =15 m 17 cm=1517 cm

    and width =9 m 2 cm=902 cm
    Area of ceiling =(1517×902)
    or, Aceiling=1368335 cm2.
    The dimension of square tile required to pave the ceiling =HCF of {1517,902}=41
    Area of tile =1681 cm2
    Number of square tile required =Aceiling​/Aone tile=(1368334​/1681)= 814

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