Question

11 How many tiles whose length and breadth are 12 cm and 5 cm respectively will be 1 needed to cover a rectangular region whose length and breadth are respectively fi 70 cm and 36 cm (ii) 144 cm and 1 m.​

Answer 1

Answer:

Step-by-step explanation:

1) Length of rectangular region= 70 cm

  Breadth of rectangular region= 36 cm

  Area of rectangular region= length*breadth

                                               = 70*36

                                               = 2520 sq.cm

 Length of tile= 12 cm

 Breadth of tile= 5 cm

 Area of tile= length*breadth

                    = 12*5

                    = 60 sq.cm

Number of tile needed to cover rectangular region= Area of                                rectangular region/ Area of tile

                                                                                      = 2520/60

                                                                                      = 42

42 tiles are needed to cover rectangular region with length 70 cm and breadth 36 cm

2) Length of rectangular region= 144 cm

  Breadth of rectangular region= 1 m= 100 cm

  Area of rectangular region= length*breadth

                                               = 144*100

                                               = 14400 sq.cm

 Length of tile= 12 cm

 Breadth of tile= 5 cm

 Area of tile= length*breadth

                    = 12*5

                    = 60 sq.cm

Number of tile needed to cover rectangular region= Area of                                       rectangular region/ Area of tile

                                                                                      = 14400/60

                                                                                      = 240

240 tiles are needed to cover rectangular region with length 144 cm and breadth 1 m

Answer 2

Answer:

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 1st case and 42 tiles are required in the 2nd case.

Step-by-step explanation:

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 1st case and 42 tiles are required in 2nd case.

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