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:
(i) $100cm$ and $144cm$?
(ii) $70cm$ and $36cm$?

Answer 1

Calculating Area of one tile $=$length $\times$breadth

$=$$12$$\times$$5$

$=$$60c{m}^2$

( i ). Calculating area of rectangular region that has length $100cm$ and breadth $144cm$.

Area of rectangular region $=$length $\times$breadth

$=$$100$$\times$$144$

$=$$14,400c{m}^2$

Numbers of tiles required $=$$\frac{\text{Area of rectangular region}}{\text{Area of one tile}}$

$=$ $\frac{14,400}{60}$

$=24$

Hence, $24$ tiles is required .

(ii.)Calculating area of rectangular region that has length $70cm$ and breadth $36cm$

Area of rectangular region $=$length $\times$breadth

$=$$70$$\times$$36$

$=$$2520c{m}^2$

Numbers of tiles required $=$$\frac{\text{Area of rectangular region}}{\text{Area of one tile}}$

$=$ $\frac{2520}{60}$

$=42$

Hence, $42$ tiles is required .