Mr Malkani constructed a building the the floor of the building consis...
The area of a rhombus with diagonals of length 90 m and 60 m can be calculated using the formula for the area of a rhombus, which is equal to the product of the length of the diagonals divided by 2.
In this case, the area of each rhombus-shaped tile is (90 m * 60 m) / 2 = 2700 square meters.
Since there are 6000 tiles on the floor of the building, the total area of the floor is 6000 * 2700 = 1620000 square meters.
If the cost of polishing the floor is 5 rupees per square meter, the total cost of polishing the floor is 5 * 1620000 = <<5*1620000=8100000>>8100000 rupees.
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Mr Malkani constructed a building the the floor of the building consis...
Calculation of total number of tiles:
To find the total number of tiles in the floor, we need to calculate the area of the floor and divide it by the area of each tile. The area of a rhombus can be calculated using the formula A = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.
Given:
Length of the longer diagonal (d1) = 90 m
Length of the shorter diagonal (d2) = 60 m
Using the formula, we can calculate the area of each tile:
A = (90 * 60) / 2
A = 5400 square meters
The total number of tiles can be calculated by dividing the area of the floor by the area of each tile:
Total number of tiles = 6000 tiles
Calculation of total cost:
To calculate the total cost of polishing the floor, we need to multiply the total area of the floor by the cost per square meter.
Given:
Cost per square meter = 5 rupees
To find the total area of the floor, we need to multiply the area of each tile by the total number of tiles:
Total area of the floor = 5400 square meters * 6000 tiles
Total area of the floor = 32,400,000 square meters
Now, we can calculate the total cost by multiplying the total area of the floor by the cost per square meter:
Total cost = 32,400,000 square meters * 5 rupees per square meter
Total cost = 162,000,000 rupees
Therefore, the total cost of polishing the floor is 162,000,000 rupees.
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