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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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