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How many tiles of length and breadth 12 cm and 5 cm respectively will be needed to cover a rectangular region whose length and breadth are 100 cm and 144 cm respectively?
Given:
Length of the tile $=12\ cm$
Breadth of the tile $=5\ cm$
Length of the rectangular region $=100\ cm$
Breadth of the rectangular region $=144\ cm$
To do:
We need to find the number of tiles needed to cover the rectangular region.
Solution:
Area of a tile $=12\times5\ cm^2=60\ cm^2$
Area of the rectangular region $=100\times144\ cm^2=14400\ cm^2$
The number of tiles required to cover the rectangular region $=$ Area of the rectangular region $\div$ Area of a tile
$=\frac{14400}{60}$
$=240$
Therefore, 240 tiles are needed to cover the rectangular region.
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