Question

A room is $4\text{m}$ long and $3\text{m}50\text{cm}$ wide. How many square metres of carpet is needed to cover the floor of the room?

Answer 1

• The area $A$ of the rectangle with length $l$ and width $w$ is given by, $A=l\times w$.
• Here the length is $4\text{m}$ that means $l=4$ and the width is $3\text{m}50\text{cm}$ which is equivalent to $3.5\text{m}$, that gives $w=3.5$.

Step 1: Substitute $4$ for $l$ and $3.5$ for $w$ into $A=l\times w$ and find the area of the rectangle.

$\begin{array}{rcl}A& =& 4\times 3.5\\ & =& 14{\text{m}}^2\end{array}$

Hence, $14{\text{m}}^2$ of carpet is needed to cover the floor of the room.