Q 12.     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.

Answers (1)

Given that,
the length and breadth of the tiles are 12 cm and 5 cm

Therefore, the area of the tiles 
= length \times breadth
= 12 cm \times 5 cm
= 60 cm2

Now, (a) For 100 cm and 144 cm rectangular region,
Area of region =  length \times breadth
                        = 14,400 cm2

Therefore, the number of tiles needed = \frac{14,400}{60}=240 tiles

(b)  For 70 cm and 36 cm rectangular region,
Area of region =  length \times breadth
                        = 70 cm \times 36 cm
                        = 2520 m2

Required number of tiles = \frac{2520}{60}=42

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