| List of Formulas | Anglish Index |
| Types of Story Problems | Examples of Story Problems |
| Angles of Triangles |
The factor and term for the short piece of board are given. The factor and term for the long piece are assumed to be 1 and 0 respectively. Assume that the length of the longer piece is the "unknown length", then
short piece unknown length = long piece unknown length X factor - term
Since we know that the sum of the lengths of the two pieces must add up
to the total length of the original board, we get
long piece unknown length + short unknown piece length = total length
Substituting in the above formula for short piece length gives:
long piece unknown length + long piece unknown length X factor - term = total length
Solving for unknown lengths gives:
unknown length$ = (total length + term) / (1+factor)
and then
length$ = unknown lenght$ X factor$ - term$;
Click to see the board table, the
program, or the
results.