A rectangular porch is of dimension 18 m 72 cm ×13 m 20 cm . square tiles are used to cover it . find the minimum number of such tiles. the correct answer is 4290 . can you explain this answer?
Length= 1872cmbreadth= 1320cmarea= 1872cm×1320cmside of square tile say 'a' cmarea of square tile= a×a sq.cmno of tiles be 'n'so n× a×a= 1872×1320now factors of 1320= 2×2×3×11×101872= 2×2×3×2×2×3×13=>n×a^2=(2^6×3^2)×3×11×13×10on comparing we can say dat n=3×11×13×10=4290..
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Length= 1872cmbreadth= 1320cmarea= 1872cm×1320cmside of square tile say 'a' cmarea of square tile= a×a sq.cmno of tiles be 'n'so n× a×a= 1872×1320now factors of 1320= 2×2×3×11×101872= 2×2×3×2×2×3×13=>n×a^2=(2^6×3^2)×3×11×13×10on comparing we can say dat n=3×11×13×10=4290..
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