Propositiones ad Acuendos Juvenes/Problems/23 - De Campo Quadrangulo

by : Problem $23$

 * De Campo Quadrangulo: A Four-Sided Field
 * A four-sided field measures $30$ perches down one side
 * and $32$ down the other;
 * it is $34$ perches across the top
 * and $32$ across the bottom.


 * How many acres are included in the field?

Solution
The sum of the lengths of the sides is $62$ perches, half of which is $31$.

The sum of the widths is $66$, half of which is $33$.

$31$ times this is $1023$.

Divide this into $12$ parts, as in $22$: De Campo Fastigioso, and there are $85$.

Again divide $85$ by $12$, and this gives $7$.

Therefore there are $7$ acres here.