Question

WII
Rajesh decides to use complete circular tiles of radius 0.7 m for his rectangular floor.
The floor is of length 6 m and breadth 4 m. Is it a good idea to cover the entire
rectangular floor? If not, what percentage of the area will be left untiled ​

Answer 1

Answer:

As the diameter of circular tile is 50 cm each, then r =  = 0.25 m

Number of tiles length wise =  = 10 tiles

Number of tiles width wise =  = 8 tiles

So, 10 tiles are length wise and 8 tiles are width wise.

So, total number of tiles = 10 × 8 = 80.

∴ Area of floor not covered by tiles

= Area of rectangular floor – Area of 80 tiles

= 5 × 4 – 80πr2 = 20 – 80 × π × 0.25 × 0.25

= 20 –  = 20 –  = 20 – 15.7 = 4.3 m2

Hence, the area of floor not covered by tiles = 4.3 m2.

Step-by-step explanation: