the floor of a building constants 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 metre² is rs 5
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Answer:
Given,
Total number of tiles used = 3000
since tile is in the shape of rhombus
and diagonals are 45 cm and 30 cm
thus, d1 = 30 cm
d2 = 45 cm
Area of one tile = Area of rhombus
=1/2×d1×d2
=1/2×30×45
=15×45
=675cm²
Area of 3000 tiles= 3000× Area of one tile
= 3000×675
=2025000cm²
Now, we need to find cost
since cost is given per m²
we need to convert the area into m²
Area = 2025000cm²
= 2025000×(1/100)²m²
=2025000/10000 m²
=202.5m²
Now
Cost of polishing 1 m²= 5
cost of publishing 202.5 m² = 5×202.5
= 5×2025/10
=5×405/2
=1012.5
Hope it helps.
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