Question

A square has area of 144 ft.in a scale drawling of the square,each inch represents 6ft.what id the area of the square in the drawling

Answer 1

We have a drawing scale where each 1 in in the drawing represent 6 ft in actual size.

If the square has an actual area of 144 ft^2, then the drawing can be calculated as:

`\begin{gathered} A_a=a\cdot b=144 \\ A_d=(k\cdot a)\cdot(k\cdot b)=k^2(a\cdot b)=k^2\cdot A_a=144\cdot k^2 \end{gathered}`

Ad: area in drawing. Aa: actual area.

The scale is 1 in per 6 ft, so k is:

`k=\frac{1\text{ in}}{6\text{ ft}}`

We can calculate the area in the drawing as: