Question

If 1 inch represents 74 feet, what dimensions would you use to make a scale drawing of a building 44 feet by 50 feet?

Answer 1

`0.59\text{i}n\text{ by }0.68\text{i}n`

Step-by-step explanation

To find the dimensions that will be used, we have to convert the given dimensions using the scale that was given.

We have that for 44 feet:

`\begin{gathered} 1\text{ }in=74\text{ }ft \\ x=44\text{ }ft \end{gathered}`

Solve for x by cross-multiplying:

`\begin{gathered} x*74=1*44 \\ \Rightarrow x=(44)/(74) \\ x=0.59\text{ }in \end{gathered}`

And for 50 feet:

`\begin{gathered} 1\text{ }in=74\text{ }ft \\ y=50\text{ }ft \end{gathered}`

Solve for y by cross-multiplying:

`\begin{gathered} y*74=50 \\ y=(50)/(74) \\ y=0.68\text{ }in \end{gathered}`

Hence, the dimensions will be:

`0.59\text{ }in\text{ by }0.68\text{ }in`