Propositiones ad Acuendos Juvenes/Problems/10 - De Linteo

by : Problem $10$

 * De Linteo: A Linen Problem
 * I have a piece of linen, $60$ cubits long and $40$ cubits wide.
 * I want to cut it into portions, each of which will be $6$ cubits long and $4$ wide.


 * How many portions can be made of it?

Solution

 * $100$.

Proof
We have that:
 * $6$ goes into $60$ a total of $10$ times
 * $4$ goes into $40$ also a total of $10$ times.

Thus the cloth can be cut into $10 \times 10 = 100$ pieces that are $6$ cubits long and $4$ cubits wide.