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Last updated at Dec. 12, 2018 by Teachoo
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 π^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 = (π΄πππ ππ ππππππ)/(π΄πππ ππ πππ π‘πππ) Given, Area of floor = 1080 m2 = 1080 Γ (100)2 cm2 = 1080 Γ 100 Γ 100 cm2 = 1080 Γ 10000 cm2 Now, finding area of tile Area of tile = Area of parallelogram = Base Γ Height = 24 Γ 10 = 240 cm2 Now, Number of tiles required = (π΄πππ ππ ππππππ)/(π΄πππ ππ πππ π‘πππ) = (1080 Γ 10000 )/240 = (1080 Γ 1000)/24 = (540 Γ 1000)/12 = (90 Γ 1000)/2 = 45 Γ 1000 = 45000 β΄ 45000 tiles are required to cover the floor.