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Question

A square the is having side of length 15 cm how many such tiles would be required to cover the square floor of a bathroom of sides 3m?

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Solution

36+3.56.9+3.5.76.9.12+........
=3+1+1.36+1.3.56.9+1.3.5.76.9.12+.....4
=3[1+13+1.33.6+1.3.53.6.9+1.3.5.73.6.9.12+....]4
=3[1+(12)(23)+(12)(121)2!(23)2+(12)(121)(122)3!(23)3+(12)(121)(122)(123)4!(23)4+....]4
=3[123]124
=334

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