Question

What is the largest rectangular chicken pen (enclosure) that a farmer can construct (fence) if he/she is providing with a wire fencing of 20 metres? The farmer is expected to use only full metres for the sides.

1. Use Polya to solve problem (8)
2. Use three representations(picture/diagrams, table and graph) to model the problem (6()
3. What assumption did you make to model situation (2)
4. If the farmer fenced circular chicken pen using 20 metres of metres of wire fencing, what would the largest area of the chicken pen be? (3)

Answer 1

not sure about Polya, but the maximum-area quadrilateral is a square.

as for the circle, since
c = 2πr and A = πr^2,
A = c^2/(4π)

Answer 2

26