A rectangular courtyard is 3.78m long and 5.25m broad. It is desired to pave it with square tiles of the same size. what is the largest size of the tile that can be used? find the number of such tiles.
Hint: Largest size of the tile is H.C.F of 378 and 525.
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Answer:
Step-by-step explanation:
3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7
5.25 meters=525 cm = 5 × 5 × 3 × 7
Hence common factors are 3 and 7
Hence LCM = 3 × 7 = 21
The other side of tile = 21
Number of times = area of rectangular tile/ are of square tiles
N = 378 * 525 / 21 ^2
N = 450 tiles.
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