A Lane, 150m long & 9m wide is to be paved with bricks. each measuring 22.5cm by 7.5cm. Find the number of bricks required>

Please find below the solution to the asked query :

$\mathrm{Area}\mathrm{of}\mathrm{lane}=\mathrm{Length}\times \mathrm{Breadth}=150\times 9\phantom{\rule{0ex}{0ex}}=1350{\mathrm{m}}^{2}.\phantom{\rule{0ex}{0ex}}\mathrm{Area}\mathrm{of}\mathrm{brick}=22.5\times 7.5=168.75{\mathrm{cm}}^{2}\phantom{\rule{0ex}{0ex}}=\frac{168.75}{100\times 100}{\mathrm{m}}^{2}=0.016875{\mathrm{m}}^{2}\phantom{\rule{0ex}{0ex}}\mathrm{Number}\mathrm{of}\mathrm{bricks}\mathrm{required}=\frac{\mathrm{Area}\mathrm{of}\mathrm{lane}}{\mathrm{Area}\mathrm{of}\mathrm{brick}}=\frac{1350}{0.016875}\phantom{\rule{0ex}{0ex}}=\frac{1350\times 1000000}{16875}\phantom{\rule{0ex}{0ex}}=80000\mathrm{bricks}.\phantom{\rule{0ex}{0ex}}80000\mathrm{bricks}\mathrm{are}\mathrm{required}.$

$\mathrm{Area}\mathrm{of}\mathrm{lane}=\mathrm{Length}\times \mathrm{Breadth}=150\times 9\phantom{\rule{0ex}{0ex}}=1350{\mathrm{m}}^{2}.\phantom{\rule{0ex}{0ex}}\mathrm{Area}\mathrm{of}\mathrm{brick}=22.5\times 7.5=168.75{\mathrm{cm}}^{2}\phantom{\rule{0ex}{0ex}}=\frac{168.75}{100\times 100}{\mathrm{m}}^{2}=0.016875{\mathrm{m}}^{2}\phantom{\rule{0ex}{0ex}}\mathrm{Number}\mathrm{of}\mathrm{bricks}\mathrm{required}=\frac{\mathrm{Area}\mathrm{of}\mathrm{lane}}{\mathrm{Area}\mathrm{of}\mathrm{brick}}=\frac{1350}{0.016875}\phantom{\rule{0ex}{0ex}}=\frac{1350\times 1000000}{16875}\phantom{\rule{0ex}{0ex}}=80000\mathrm{bricks}.\phantom{\rule{0ex}{0ex}}80000\mathrm{bricks}\mathrm{are}\mathrm{required}.$

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