Question

How many square tiles of side $14cm$ will be required to pave the floor of a rectangular room of $9.8m\times 6.4m?$

Answer 1

Step 1 : Calculating the Area of square tile

First, converting $m$ into $cm$:

$$\begin{gathered} 1m=100cm \\ 9.8m=980cm \\ 6.4m=640cm \end{gathered}$$

Area of square $=sid{e}^2$

$$\begin{gathered} ={14}^2 \\ =14\times 14 \\ =196c{m}^2 \end{gathered}$$

Step 2: Calculating the area of rectangular room

Area of rectangle $=length\times breadth$

$$\begin{gathered} =980\times 640 \\ =627200c{m}^2 \end{gathered}$$

Step 3: Calculating the number of tiles required

Number of tiles$=\frac{Areaofroom}{Areaoftile}$

$$\begin{gathered} =\frac{627200}{196} \\ =3200 \end{gathered}$$

Hence, the number of tiles required to pave the floor is $3200$