Question

How many tiles whose length and breadth are 12cm and 5cm respectively will be needed to cover a rectangular region whose length and breadth are respectively:144 cm and 1m.

Answer 1

Hint: In this, we have to find the number of tiles of specific dimensions that can cover a rectangular region of a specific dimension. To find the number of required tiles we have to find the total area to be covered and the area of tile with which it has to be covered. By dividing the area of the rectangular region with the area of one tile we will get the required number of tiles.

Complete step-by-step answer:

We know that formula to find the area of the rectangular region is \[l\times b\].
Where l is the length of the region and b is the breadth of the region.
Also $1m=100cm$
So, Area of the rectangular region to be covered is $144\times 100c{{m}^{2}}$
 Area of tile is $12\times 5c{{m}^{2}}$
To get the number of tiles we have to divide the total area by the area of one tile
Number of tiles = Area of rectangular region/Area of one tile

Number of tiles =
$\begin{align}
  & \dfrac{144\times 100}{12\times 5} \\
 & =\dfrac{14400}{60} \\
 & =240 \\
\end{align}$

Hence the number of tiles required to cover the rectangular region is 240.

Note: Take care of all the units while doing calculations. All the units must be the same when you do any mathematical operations like when we find the area of the rectangular region the breadth of the region has been converted from m to cm.