Question

How many tiles whose length and breadth are $12cm$ and $5cm$, respectively will be needed to fit in a rectangular region whose length and breadth are respectively $100cm$ and $144cm$?

Answer 1

Calculate the area of rectangle

Area of rectangle $=$ Length $\times$width

Area of rectangular region$=100cm\times 144cm$

$=14400c{m}^2$

Area of a tile$=5cm\times 12cm$

$=60c{m}^2$

$\mathrm{Number}\mathrm{of}\mathrm{tiles}=\frac{\mathrm{Area}\mathrm{of}\mathrm{rectangular}\mathrm{region}}{\mathrm{Area}\mathrm{of}\mathrm{a}\mathrm{tile}}$

$$\begin{gathered} =\frac{14400}{60} \\ =240 \end{gathered}$$

Hence, $240$ tiles are required to fit in the rectangular region