Question

A hall is $8m$ long and and $8m60cm$ wide.How many square metres of carpet is needed to cover the floor of the hall?

Answer 1

Step 1: Convert the units of all quantities into $meters.$

$$\begin{gathered} l=8m \\ b=8m60cm=8+\frac{60}{100}=8+0.6=8.6m\left[\therefore 1cm=\frac{1}{100}m\right] \end{gathered}$$

Step 2: Find the area of the carpet needed to cover the floor.

The floor of the hall is in the form of a rectangle.

Therefore, area of the carpet required to cover the floor $=l\times b$

$$\begin{gathered} =8\times 8.6 \\ =68.8m^2 \end{gathered}$$

Hence, the carpet needed to cover the floor of the hall is equal to $68.8m^2$