Propositiones ad Acuendos Juvenes/Problems/22 - De Campo Fastigioso

by : Problem $22$

 * De Campo Fastigioso: An Irregular Field
 * There is an irregular field,
 * measuring $100$ perches along each side,
 * and $50$ perches along each end,
 * but $60$ perches across the middle.


 * How many acres does it contain?

Solution
The area of an acre used here is $144$ square perches.

The length of the field is $100$ perches.

The length of the edges of the field is $50$ perches.

At the middle it is $60$ perches.

Join the length of the enda with the middle, which is $160$.

Take the $3$rd part of that, which is $53$.

Multiply it by $100$, which is $5300$.

Divide this into $12$ equal parts, giving $37$.

This gives the number of acres in the field.