Question

(05.01)A scale drawing of a living room is shown below. The scale is 1:40.4 inches 6 inchesShow your work to determine the area of the room in square foot

Answer 1

The given information is the scale of the drawing which is 1:40. It means if an object measures 1 inch length in the drawing, would measure 40 inches in the real life.

Then, to find the area of the room, first we need to multiply each of the dimensions by 40:

`\begin{gathered} 6in*(40)/(1)=240in \\ 4in*(40)/(1)=160in \end{gathered}`

Then, the room has dimensions 240 inches by 160 inches.

To find the area in square feet we need to apply the conversion factor. 12 inches are equal to 1 foot. Then:

`\begin{gathered} 240in*(1ft)/(12in)=20ft \\ 160in*(1ft)/(12in)=13.33ft \end{gathered}`

The area of a rectangle is given by the formula:

`\begin{gathered} A=L* W \\ \text{Where L is the length and W is the width} \\ Then\text{ the area is} \\ A=20ft*13.33ft \\ A=266.7ft^2 \end{gathered}`

The area of the room is 266.7 square feet.