Question

How many rectangular tiles of size 30cm×15cm is required to for rectangular hall of size 3.6m×3m?

Answer 1

$\bf{\underline{\underline{Given}}}$

$\mathsf{\star\: length \: of \:a\: tile = 30\:cm}$

$\mathsf{\star\: breadth \: of\: a\: tile = 15\:cm}$

$\mathsf{\star\: length \: of \: the\: hall = 3.6\:m}$

$\mathsf{\star\: length \: of \: tiles = 3\:m}$

$\bf{\underline{\underline{To\:find}}}$

$\mathsf{\star\: Tiles\:required\:for\:the\:hall}$

$\bf{\underline{\underline{Solution}}}$

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

Answer 2

$\huge\underline\mathit{Given...}$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

✪ length of tile = 30cm

✪ breadth of tile = 15cm

⠀⠀⠀

✪ length of the hall = 3.6m

✪ breadth of the hall = 3m

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\huge\underline\mathit{To\:find:-...}$

✪ number of tiles required for the hall...

$\huge\underline\mathit{SoLution!!...}$

✪ $\green{\underline\textbf{Area of one tile...}}$

• Area = Length × Breadth

• Area = 30cm × 15cm

• Area = 450cm²

✪ $\green{\underline\textbf{Area of the hall...}}$

• Area = Length × Breadth

• Area = 3.6m × 3m

• Area = 10.8m²

$\green{\underline\textbf{convert area of hall into centimetres...}}$

we know that,

• 1m = 100cm

so,

• 10.8m² = 100 × 10.8 cm²

• 108000cm²

$number \: of \: tiles \: required = \frac{area \: of \: the \: hall}{area \: of \: one \: tile}$

$= = \frac{108000 \: cm ^{2} }{450 \: cm^{2} }$

✪ $= = \: 250$

$\green{\underline\textbf{</strong><strong>T</strong><strong>here</strong><strong>fore</strong><strong>,</strong><strong> </strong><strong>num</strong><strong>ber</strong><strong> </strong><strong>of</strong><strong> </strong><strong>tiles</strong><strong> </strong><strong>re</strong><strong>quired</strong><strong> </strong><strong>is</strong><strong> </strong><strong>2</strong><strong>5</strong><strong>0</strong><strong>...}</strong><strong>}</strong><strong>$

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Thanks!!...✌️❣️

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