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Standard VI
Mathematics
Area of Rectangle
The floor of ...
Question
The floor of a building consists of
3000
tiles which are rhombus shaped. The diagonals of each of the tiles are
45
c
m
and
30
c
m
. Find the total cost of polishing the floor, if cost per
m
2
is
R
s
2.50
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Solution
Given:
d₁= 45cm , d₂= 30cm
Number of tiles= 3000
Rate per m²= ₹2.50
Area of Rhombus= 1/2×d₁×d₂
= (1/2) × 45 × 30=675
Area of 1 tile= 675 cm² = 675/10000 m²
Area of 3000 tiles= 3000 × (675/10000)
[1cm²= 1/10000m²]
cost of Polishing the floor
= Total Area × rate
= (3000 × 675 ×2.5)/10000
= ₹ 506.25
Hence the total cost of polishing the floor
= ₹ 506.25
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