Question

17. How many rectangular tiles 10 cm by 7 cm will be required to cover a floor 14 m long and 12.5 m broad and what will be the cost at 70 per hundred tiles? ​

Answer 1

Answer:

• 25,000 tiles are required to cover the floor and cost Rs. 17,500

$~$

Step-by-step explanation:

• Length of tile = 10cm
• Breadth of tile = 7cm

$\sf \longrightarrow Area \: of \: Tile = L × B$

$\sf \longrightarrow Area = 10 × 7 = 70 {cm}^{2}$

$~$

• Length of floor = 14m = 1400cm
• Breadth of floor = 12.5m = 1250 cm

$\sf \longrightarrow Area \: of \: floor = 1400 × 1250$

$\sf \longrightarrow Area = 1750,000 {cm}^{2}$

$~$

Total number of tiles required = Area of floor/area of tile:

$\sf \longrightarrow \dfrac{750,000}{70}$

$\pmb{\sf \longrightarrow 25,000 \: tiles }$

$~$

$\sf \longrightarrow Cost \: of \: 100 \: tiles = Rs. 70/-$

$\sf \longrightarrow Cost \: of \: 1 \: tile = 70/100$

$\pmb{ \sf \longrightarrow Rs.0.5}$

$~$

Cost of 25,000 tiles:

$\sf \longrightarrow 25,000 × 0.5$

$\pmb{\sf \longrightarrow Rs. 17,500}$