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An interior designer wants to cover the floor with a marble of a room which is 525 cm long and 375 cm wide. How many minimum no. of marble pieces can be fitted on the floor such that all marble pieces are of same size and square in shape.?
Most Upvoted Answer
An interior designer wants to cover the floor with a marble of a room ...
Calculating the size of each marble piece:
To calculate the size of each marble piece, we need to find the area of the room first. The area of the room can be calculated by multiplying the length and width of the room:
Area = Length x Width
Area = 525 cm x 375 cm
Area = 196875 cm²

Finding the size of each marble:
Since we want all the marble pieces to be square in shape, we need to find the largest square that can fit into the room. To do this, we need to find the greatest common divisor (GCD) of the length and width of the room. The GCD of 525 and 375 is 75.

Calculating the number of marble pieces:
To find the number of marble pieces that can fit into the room, we need to divide the area of the room by the area of each marble piece:
Number of marble pieces = Area of room / Area of each marble
Number of marble pieces = 196875 cm² / 75 cm²
Number of marble pieces = 2625
Therefore, the minimum number of marble pieces that can be fitted on the floor of the room is 2625, with each marble piece being 75 cm x 75 cm in size.
Community Answer
An interior designer wants to cover the floor with a marble of a room ...
Length of the floor = 525
Width/Breadth of the floor = 375
Therefore to find numbers of equal marble pieces that cover the entire floor we need to find the area
As we already know Area = Length × Breadth/Width
Therefore 525 × 375 = 1,96,875
Therefore Answer = Number of equal marble pieces that cover the entire floor of 525 length and 375 breadth are 1,96,875 .
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An interior designer wants to cover the floor with a marble of a room which is 525 cm long and 375 cm wide. How many minimum no. of marble pieces can be fitted on the floor such that all marble pieces are of same size and square in shape.?
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