Question

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

Answer 1

For rectangular tile:

Length $=$ $12cm$

Breadth $=$ $5cm$

So, area of the tile $=$ $12\times 5$

$=60{cm}^2$

For rectangular region:

Length $=$ $100cm$

Breadth $=$ $144cm$

So, area of the tile $=$ $100\times 144$

$=14,400{cm}^2$

Let $n$ rectangular tiles are required to completely cover the rectangular region. Then,

Area of $n$ rectangular tiles $=$ Area of the rectangular region

$n\times 60=14400$

$n=\frac{14400}{60}$

$n=240$

Hence, $240$ tiles are required to cover the entire rectangular region.