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

Solution:

We will be using the area of rectangle formula to calculate the area o the rectangular region and the tiles.

We know that, the area of a rectangle is given by length × breadth

(a) Area of rectangular region = 100 × 144

= 14400 cm

Also, area of one tile = 5 × 12

= 60 cm²

The number of tiles needed = Area of the rectangular region / Area of one tile

= 14400 / 60

= 240

Hence, 240 tiles are needed in this case.

(b) Now, area of rectangular region = 70 × 36

= 2520 cm²

Also, area of one tile = 5 × 12

= 60 cm²

The number of tiles needed = Area of the rectangular region / Area of one tile

= 2520 / 60

= 42

Hence, 42 tiles are needed in this case.

Therefore, 240 tiles are required in 1^st case and 42 tiles are required in 2^nd case.

NCERT Solutions Class 6 Maths Chapter 10 Exercise 10.3 Question 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

Summary:

It is given that the 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 given. We found that 240 tiles are required in the 1^st case and 42 tiles are required in the 2^nd case.

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