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A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see Figure). Find the cost of polishing the tiles at the rate of 50p per .

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It can be observed that Semi-perimeter of each triangular-shaped tile, By Heron’s formula, Area of triangle Area of each tile = (36 × 2.45) cm2 = 88.2 cm2 Area of 16 tiles = (16 × 88.2) cm2= 1411.2 cm2 Cost of polishing per cm2 area = 50 p Cost of polishing 1411.2 cm2 area = Rs (1411.2...
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It can be observed that

Semi-perimeter of each triangular-shaped tile, 

By Heron’s formula,

Area of triangle

Area of each tile 

= (36 × 2.45) cm2

= 88.2 cm2

Area of 16 tiles = (16 × 88.2) cm2= 1411.2 cm2

Cost of polishing per cm2 area = 50 p

Cost of polishing 1411.2 cm2 area = Rs (1411.2 × 0.50) = Rs 705.60

Therefore, it will cost Rs 705.60 while polishing all the tiles

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Area of 1 tile = √36 ( 36 - 35 ) ( 36 - 28 ) ( 36 - 9 ) = √ 36 × 8 × 27 = 36√6cm² = 88.2cm² Area of 16 tiles = 16 × 88.2 = Rs. 1411.2. Cost of polishing the tiles = 1411.2 × 0.50 = Rs. 705.6.
Comments

Rs.705.44/-
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Trainer

Rs. 705.44/-
Comments

maths n science

S semiperimeter=(35+28+9)2=<36 area of one tile =√36(36_35)(36_28)(36_9)= 6*1* 14.7 = 88.2 square cm approximately. Area of 16 such tiles = 88.2*16= 1411.2sq.cm cost of polishing is 1411.2*1/2 = 705.60₹
Comments

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