The dimensions of rectangle are given as,
[tex]\begin{gathered} \text{Length = }6\text{ inches} \\ Breadth\text{ = }4\text{ inches} \end{gathered}[/tex]
The scale factor is 1 : 40
Therefore the area is calculated as,
[tex]\begin{gathered} \text{Area = Length }\times\text{ Breadth } \\ \text{Area = 6 inches }\times40\times\text{ 4 inches}\times40 \\ \text{Area = 38400 inches}^2 \end{gathered}[/tex]
1 feet = 12 inches
1 sq feet = 144 sq inches
Therefore,
[tex]\begin{gathered} 38400inches^2\text{ = }\frac{38400\text{ }}{144} \\ 38400inches^2\text{ = 266.67 sq.fe}et \end{gathered}[/tex]
Thus the required area of the room is 266.67 sq.feet .
