Question

On a drawing sheet, if a $12cm$ bar is represented by a line of length $\frac{1}{4}cm$, then the actual length of the bar which measures $3\frac{3}{8}cm$ on the drawing sheet is:

• A. $162cm$
• B. $163cm$
• C. $164cm$
• D. $160cm$

Answer 1

The correct option is A $162cm$

Let the actual length of the bar be $xcm$.

Then,
$12:\frac{1}{4}=x:3\frac{3}{8}\Rightarrow \frac{12}{1/4}=\frac{x}{27/8}$
$\Rightarrow 48=\frac{8x}{27}\Rightarrow x=\frac{27\times 48}{8}=162cm$.