4. A rectangular hall is 12m long and 6m broad its flooring is to be made of square tiles of slides 30 cm how many tiles will fit in the entire hall ?how many would be required if tiles of side 15 cm were used ?
Answers
||✪✪ QUESTION ✪✪||
A rectangular hall is 12m long and 6m broad its flooring is to be made of square tiles of slides 30 cm how many tiles will fit in the entire hall ?how many would be required if tiles of side 15 cm were used ?
|| ★★ FORMULA USED ★★ ||
→ Area of Rectangle = Length * Breadth
→ Area of square = (side)²
→ Required Number of Tiles = ( Area of floor) / ( Area of one Tile ).
→ 1 m = 100 cm.
|| ✰✰ ANSWER ✰✰ ||
Given That, Length and Breadth of rectangular floor are 12m and 6m.
Or, we can say That, 12*100 = 1200cm and 600cm.
So,
→ Area of Floor = (1200*600)cm²
Now, Side of one Square Tile is = 30cm.
So,
→ Area of 1 Square Tile = (30*30)cm² .
Required Number of Tiles = (1200*600)/(30*30) = 40*20 = 800 Tiles .
Hence, 800 Tiles are Required in Flooring .
_________________________
now, when Side of Square Tile is 15cm.
Than,
→ Area of Square Tile = (15*15)cm² .
So,
→ Required Tiles in This case = (1200*600)/(15*15) = 80*40 = 3200 Tiles .
Hence, If side of Square Tile is 15cm , Than we need 3200 Tiles in Flooring.
_________
Length of rectangular hall, l = 12 m
breadth of rectangular hall, b = 6 m
Area of rectangular hall = l×b
Area of rectangular hall = 12×6 = 72 m^2
side of square tile, s = 30 cm = 0.30 m
area of square tile of side 0.30 m = (s) ^2=(0.30) ^2
area of square tile = 0.09 m^2
Total no. of tiles used for
flooring the hall = area of hall / area of tile
total no. of tiles used for flooring = 72/0.09
→total no. of tiles used for flooring = 800 tiles←
side of square tile is changed, S = 15 cm = 0.15 m
area of new square tile
with side 0.15 cm = (S) ^2 = (0.15) ^2
area of new tile = 0.0225 m^2
now, no. of tiles used
for flooring = area of hall / area of new tile
no. of tiles used for flooring = 72/0.0225
→no. of tiles used for flooring = 3200 tiles←