Question

(05.01)A scale drawing of a living room is shown below. The scale is 1:40.

4 inches
6 inches
Show your work to determine the area of the room in square foot.

Answer 1

The dimensions of rectangle are given as,

`\begin{gathered} \text{Length = }6\text{ inches} \\ Breadth\text{ = }4\text{ inches} \end{gathered}`

The scale factor is 1 : 40

Therefore the area is calculated as,

`\begin{gathered} \text{Area = Length }*\text{ Breadth } \\ \text{Area = 6 inches }*40*\text{ 4 inches}*40 \\ \text{Area = 38400 inches}^2 \end{gathered}`

1 feet = 12 inches

1 sq feet = 144 sq inches

Therefore,

`\begin{gathered} 38400inches^2\text{ = }\frac{38400\text{ }}{144} \\ 38400inches^2\text{ = 266.67 sq.fe}et \end{gathered}`

Thus the required area of the room is 266.67 sq.feet .