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13. A floor of a building consists of 2,500 tiles. All the tiles are rhombus shaped with diagonal40 cm and 25 cm. Find the total cost of polishing the floor at the rate of ₹8 per square meter.​

Answer»

\huge\underline\mathcal\red{SOLUTION}

Given:-

Total no. of tiles =2550

Since the tiles are in the shape of rhombus and DIAGONALS are of length 20cm and 28cm.

Therefore,

d1 = 20 \\ d2 = 28

Area of one tile = Area of rhombus

As we KNOW that area of rhombus is given as-

\frac{1}{2}  \times d1 \times d2

Therefore,

area \: of \: 1 \: tile =  \frac{1}{2}  \times 20 \times 28 = 280 {cm}^{2}

∴ Area of 2550 tiles =2550×280=714000cm^2

=71.4m^2

Given that the cost of polishing is Rs.25 per m^2

Therefore,

Cost of polishing the FLOOR =25×71.4=Rs.1785

Hence the cost of polishing the floor is Rs.1785.

\huge\underline\mathcal\purple{BTS \: EXO}



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