Ex 11.1, 4 A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 𝑚^2? (If required you can split the tiles in whatever way you want to fill up the corners).
Given,
Tile is in shape of parallelogram
And,
Base = 24 cm
Height = 10 cm
Now,
Number of tiles required = (𝐴𝑟𝑒𝑎 𝑜𝑓 𝑓𝑙𝑜𝑜𝑜𝑟)/(𝐴𝑟𝑒𝑎 𝑜𝑓 𝑜𝑛𝑒 𝑡𝑖𝑙𝑒)
Given,
Area of floor = 1080 m2
= 1080 × (100)2 cm2
= 1080 × 100 × 100 cm2
= 1080 × 10000 cm2
Now, finding area of tile
Area of tile = Area of parallelogram
= Base × Height
= 24 × 10
= 240 cm2
Now,
Number of tiles required = (𝐴𝑟𝑒𝑎 𝑜𝑓 𝑓𝑙𝑜𝑜𝑜𝑟)/(𝐴𝑟𝑒𝑎 𝑜𝑓 𝑜𝑛𝑒 𝑡𝑖𝑙𝑒)
= (1080 × 10000 )/240
= (1080 × 1000)/24
= (540 × 1000)/12
= (90 × 1000)/2
= 45 × 1000
= 45000
∴ 45000 tiles are required to cover the floor.

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.