A rectangular floor of length 9m and breadth 6m has black tiles laid in a pattern. Find the number of tiles laid, if each tile has dimensions 40cm x 10cm.
Answers
Step-by-step explanation:
area of floor / area of tile = 9×100 = 900 cm
6×100=600cm
600×900/40×10
60×90/4
15×90
1350 tiles are required to cover the floor.
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Given data : A rectangular floor of length 9m and breadth 6m has black tiles laid in a pattern. Each tile has dimensions 40cm x 10cm.
Solution : Here, a/c to given data;
➜ Length of floor = 9 m
➜ Breadth of floor = 6 m and
Let,
➜ Length of tile = 40 cm
➜ Breadth of tile = 10 cm
Here, we know, 1 m = 100 cm. Hence
➜ Length of tile = 40 cm = 40/100 m = 0.4 m
➜ Breadth of tile = 10 cm = 10/100 m = 0.1 m
Now, by formula of area of rectangle;
➜ Area of floor = Length * Breadth
➜ Area of floor = 9 * 6
➜ Area of floor = 54 m²
Similarly,
➜ Area of tile = Length * Breadth
➜ Area of tile = 0.4 * 0.1
➜ Area of tile = 0.04 m²
Now,
➜ Number of tile = Area of floor/Area of tile
➜ Number of tile = 54/0.04
➜ Number of tile = 1350
Answer : Therefore, 1350 black tiles placed in the pattern are used.