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?

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?

To find out how many tiles are needed to fit a rectangular region, you can calculate the number of tiles required by dividing the area of the region by the area of each tile.

The area of each tile with a length of 12 cm and a breadth of 5 cm is:

Area of one tile = Length × Breadth Area of one tile = 12 cm × 5 cm = 60 square centimeters (cm²)

Now, let's calculate the number of tiles required for each rectangular region:

(a) For the rectangular region with dimensions 100 cm and 144 cm: Area of the region = Length × Breadth Area of the region = 100 cm × 144 cm = 14,400 square centimeters (cm²)

Number of tiles required = Area of the region / Area of one tile Number of tiles required = 14,400 cm² / 60 cm²/tile = 240 tiles

(b) For the rectangular region with dimensions 70 cm and 36 cm: Area of the region = Length × Breadth Area of the region = 70 cm × 36 cm = 2,520 square centimeters (cm²)

Number of tiles required = Area of the region / Area of one tile Number of tiles required = 2,520 cm² / 60 cm²/tile = 42 tiles

So, you would need 240 tiles to fit in the rectangular region with dimensions 100 cm by 144 cm, and 42 tiles to fit in the rectangular region with dimensions 70 cm by 36 cm.