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A room is $ 4 \mathrm{~m} $ long and $ 3 \mathrm{~m}\ 50 \mathrm{~cm} $ wide. How many square metres of carpet is needed to cover the floor of the room?
Given:
A room is $4\ m$ long and $3\ m \ 50\ cm$ wide.
To do:
We have to find the square meters of carpet needed to cover the floor of the room.
Solution:
The area of a rectangle with length '$l$' and breadth '$b$' is $l \times b$.
Since,
$1\ m=100\ cm$
This implies,
$1\ cm=\frac{1}{100}\ m$
Breadth $b =3\ m \ 50\ cm$
$=3\times\frac{50}{100}$
$=3.50\ m$
Therefore,
Length $l =4\ m$ and breadth $b =3.50\ m$
The area of the rectangle $ = 4\ m\times3.50\ m$
$=14\ m^2$
The square meters of carpet needed to cover the floor of the room is $14\ m^2$.
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