Question

The pes, a Roman measure of length, is approximately equal to $11.65$ inches. It is also equivalent to $16$ smaller Roman units called digits. Based on these relationships, $75$ Roman digits is equivalent to how many feet, to the nearest hundredth? ($12$ inches $=1$ foot)

• A. $3.55$
• B. $4$
• C. $4.55$
• D. $5.55$

Answer 1

The correct option is C $4.55$

First, figure out how many pes you have when you have $75$ digits:

$\frac{1}{16}=\frac{x}{75}$

$\therefore x=4.6875$ pes.

Now figure out how many inches are there, that is:

$\frac{1}{11.65}=\frac{4.6875}{y}$

$\therefore y=54.609375$ inches.

Now figure out how many feet are there, that is:

$\frac{1}{12}=\frac{z}{54.609375}$

$\therefore z=4.55078125$ feet.

Hence, $75$ roman digits is equivalent to $4.55$ feet.