How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively:

(a) 100 cm and 144 cm


(b) 70 cm and 36 cm


(a) We know that,

Area of rectangle = Length × Breadth


It is given in the question that,


Length = 100 cm


Breadth = 144 cm


Therefore,


Area = Length × Breadth


= 100 × 144


= 14400 cm2


Therefore,


Area of one tile = 12 × 5


= 60 cm2


Hence,


Number of tiles required =


= 240


Therefore, total 240 tiles are required


(b) We know that,


Area of rectangle = Length × Breadth


It is given in the question that,


Length = 100 cm


Breadth = 144 cm


Therefore,


Area = Length × Breadth


= 70 × 36


= 2520 cm2


Area of one tile = 60 cm2


Hence,


Number of tiles required =


= 42


Therefore, total 42 tiles are required


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