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

ANSWER

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

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:

$\begin{gathered} x*74=1*44 \\ \Rightarrow x=\frac{44}{74} \\ x=0.59\text{ }in \end{gathered}$

And for 50 feet:

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

Solve for y by cross-multiplying:

$\begin{gathered} y*74=50 \\ y=\frac{50}{74} \\ y=0.68\text{ }in \end{gathered}$

Hence, the dimensions will be:

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