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The floor of a building consists of 3000 tiles, which are rhombus shaped, and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor if the cost per m2 is ₹ 4. - Mathematics

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प्रश्न

The floor of a building consists of 3000 tiles, which are rhombus shaped, and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor if the cost per m2 is ₹ 4.

योग
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उत्तर

Length of first diagonal = 45cm

Length of second diagonal = 30 cm

Then area of one tile = `1/2` × first diagonal × second diagonal = 12 × 45 × 30

= 675cm2

Thus, the area of 3000 tiles = 675 × 3000

= 2025000 cm

Hence, polishing expense = `2025000/10000`

= 202.50m2 

Since 1m2 = 10000 cm2

Given polishing cost of 1m2 = Rs 4

Then the cost of polishing is 202.50 m2

= 4 × 202.50

= Rs 810

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अध्याय 11: Mensuration - Exercise 11.2 [पृष्ठ १७८]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 11 Mensuration
Exercise 11.2 | Q 7 | पृष्ठ १७८

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