How many rectangular tiles of size 30 cm length and breath 15cm to for rectangular hall of size 3.6m length and breadth 3m
Answers
Answer:
Step-by-step explanation:\bf{\underline{\underline{Given}}}
\mathsf{\star\: length \: of \:a\: tile = 30\:cm}
\mathsf{\star\: breadth \: of\: a\: tile = 15\:cm}\\ \\
\mathsf{\star\: length \: of \: the\: hall = 3.6\:m}
\mathsf{\star\: length \: of \: tiles = 3\:m}\\ \\
\bf{\underline{\underline{To\:find}}}
\mathsf{\star\: Tiles\:required\:for\:the\:hall}\\ \\
\bf{\underline{\underline{Solution}}}\\
For a rectangular tile
\mathsf{\implies\: Area = length × breadth}
\mathtt{\implies \: Area = 30\:cm × 15\:cm}
\mathtt{\implies \: Area = 450\:cm^{2}}\\ \\
For the rectangular hall
\mathsf{\implies\: Area = length × breadth}
\mathtt{\implies \: Area = 3.6\:m × 3\:m}
\mathtt{\implies \: Area = 360\:cm × 300\:cm}
\mathtt{\implies \: Area = 108000\:cm^{2}}\\ \\
\mathsf{No.\:of\:tiles\:required = {\frac{Area\:of\:hall}{Area\:of\:a\:tile}}}\\
\mathtt{\implies\: \Large{\frac{108000\:cm^{2}}{450\:cm^{2}}}}
\fbox{\large{\mathtt{\green{\implies \: 250}}}}\\ \\
∴ 250 tiles are required for the rectangular hall
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