How many tiles with dimensions 7 cm and 11 cm will be needed to fit in a region whose
length and breadth are, respectively,
(i) 100 cm and 154 cm
(ii) 154 cm and 20 cm
Answers
☆ Solution ☆
Given :-
- Dimension of tiles are 7 cm and 11 cm
To Find :-
Number of tiles needed to fit in region of
- (i) 100 cm and 154 cm
- (ii) 154 cm and 20 cm
Step-by-Step-Explaination :-
1. Given that :-
Length of tiles = 7 cm
Breadth of tiles = 11 cm
Therefore,
Area of rectangle = l × b
Putting the respective value,
Area of rectangle = 7 × 11
Area of rectangle = 77 cm²
Also,
Length of the rectangular region = 100 cm
Breadth of the rectangular region = 154 cm
Therefore,
Area of rectangle = l × b
Putting the respective value,
Area of rectangle = 100 × 154
Area of rectangle = 15400 cm²
Hence,
The tiles required to fit in the given region will be,
Number of tiles = Area of the region / Area of the one tile
Number of the tiles = 15400/77
Number of the tiles = 200 tiles
2)
Length of the rectangular region = 154 cm
Breadth of the rectangular region = 20 cm
Therefore,
Area of rectangle = l × b
Putting the respective value,
Area of rectangle = 154 × 20
Area of rectangle = 3080 cm²
Now,
We know the area of one tiles = 77 cm²
Therefore,
Number of tiles = Area of the region / Area of the one tile
Number of tiles = 3080/77
Number of tiles = 40 tiles