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A rectangular room having dimensions 3.74 m x 5.78 m is required to be tiled using minimum number of identical square tiles. The number of such tiles and area of each tile (in cm2) is given by;
  • a)
    176 and 867
  • b)
    143 and 961
  • c)
    187 and 1156
  • d)
    198 and 1024
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A rectangular room having dimensions 3.74 m x 5.78 m is required to be...
In this question, we need to find the HCF of 374 and 578 which is 34. We can look at 374 = 34 x 11 and 578 = 34 x 17. This gives the number of square tiles required to cover the entire room is 11 x 17 = 187 and area of each such tile is 342 = 1156 cm2.
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A rectangular room having dimensions 3.74 m x 5.78 m is required to be...
To find the minimum number of identical square tiles required to tile a rectangular room, we need to divide the area of the room by the area of each tile.

Given dimensions of the room: 3.74 m x 5.78 m

Step 1: Convert the dimensions to centimeters
Multiply the length and width by 100 to convert from meters to centimeters.
Length = 3.74 m * 100 cm/m = 374 cm
Width = 5.78 m * 100 cm/m = 578 cm

Step 2: Calculate the area of the room
Area = Length * Width = 374 cm * 578 cm = 216172 cm^2

Step 3: Calculate the area of each tile
Given area of each tile = 1156 cm^2

Step 4: Calculate the minimum number of tiles required
Number of tiles = Area of room / Area of each tile
Number of tiles = 216172 cm^2 / 1156 cm^2 = 187

Therefore, the correct answer is option C: 187 tiles with an area of each tile being 1156 cm^2.
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A rectangular room having dimensions 3.74 m x 5.78 m is required to be tiled using minimum number of identical square tiles. The number of such tiles and area of each tile (in cm2) is given by;a)176 and 867b)143 and 961c)187 and 1156d)198 and 1024Correct answer is option 'C'. Can you explain this answer?
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A rectangular room having dimensions 3.74 m x 5.78 m is required to be tiled using minimum number of identical square tiles. The number of such tiles and area of each tile (in cm2) is given by;a)176 and 867b)143 and 961c)187 and 1156d)198 and 1024Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A rectangular room having dimensions 3.74 m x 5.78 m is required to be tiled using minimum number of identical square tiles. The number of such tiles and area of each tile (in cm2) is given by;a)176 and 867b)143 and 961c)187 and 1156d)198 and 1024Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular room having dimensions 3.74 m x 5.78 m is required to be tiled using minimum number of identical square tiles. The number of such tiles and area of each tile (in cm2) is given by;a)176 and 867b)143 and 961c)187 and 1156d)198 and 1024Correct answer is option 'C'. Can you explain this answer?.
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