Question

Find the maximum length of square tiles that can be laid in the room 360cm width and 220 cm long. thnx pls answer Lucy

Answer 1

Since, 1 m = 100 cm

Therefore,

36 m = 3600 cm

20.8 m = 2080 cm

Area of a hall = area of a rectangle = 3600 × 2080 = 748800 cm2

Prime factorisation of 3600 and 2080.

3600 = 2 × 2 × 2× 2× 3× 3× 5× 5

2080 = 2 × 2 × 2× 2× 2× 5 × 13

HCF(3600, 2080) = 2 × 2 × 2× 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.

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