Given:
Room is 5 meters by 8 meters.
Measure of squaree tiles is 14-inch.
[tex]\begin{gathered} \text{Area of the room=5}\times8 \\ \text{Area of the room=}40m^2 \end{gathered}[/tex][tex]1m^2=1550inch^2[/tex][tex]\begin{gathered} \text{Area of each tile=14}\times14 \\ \text{Area of each tile=}196inch^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Number of tiles to floor the room=}\frac{40\times1550}{196} \\ \text{Number of tiles to floor the room}=316.3265 \end{gathered}[/tex]Approximately 316 tiles are required to floor the room.