Question

The length and breadth of a hall are 36 m and 20.8 m respectively. What is the greatest length of the side of square tiles that can be laid on the floor of the hall such that no tile has to be cut? ​

Answer 1

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Refer to the attachment

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Since, 1 m = 100 cm

Therefore,

36 m = 3600 cm

20.8 m 2080 cm

Area of a hall = area of a rectangle =

3600 x 2080 = 748800 cm²

Prime factorisation of 3600 and 2080. 3600 = 2 x 2 x 2x 2x 3x 3x 5x 5

2080 = 2 x 2 x 2x 2x 2x 5 x 13 HCF(3600, 2080) = 2 × 2 × 2x 2 × 5 = 80

80 cm is the greatest length of the side of square tiles that can be laid on the floor such that no tile has to be cut.

HOPE IT HELPS ✨✨