find the size of largest square tile so that the exact number of such tiles can be laid out in a floor measuring 24 metre by 20 metre
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Answer:
The largest square tile in this case would be 4m x 4m
Step-by-step explanation:
The dimensions of the floor are 24m x 20m
Since we need a square tile of maximum side length, the sides of the tile should fit neatly into both 24m and 20m.
This can be worked out using the highest common factor (HCF) of 24 and 20.
The HCF of 24 and 20 is 4.
Hence the tile should be 4m x 4m
Total area of the floor = 24m x 20m = 480m²
Total area of one tile = 4m x 4m = 16m²
Total number of tiles required = 480 / 16 = 30
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