1. 1 Perimeter Gosford Hill May 2010

2. 2 How Much Information?  How few rectangles needed to compose it?  Design a rectilinear region requiring –3 lengths to find the perimeter and –8 lengths to find the area  How few rectangles needed to compose it?  How much information about lengths do you need in order to work out –the perimeter? –the area?

3. 3 Two-bit Perimeters 2a+2b What perimeters are possible using only 2 bits of information? a b

4. 4 Two-bit Perimeters 4a+2b What perimeters are possible using only 2 bits of information? a b

5. 5 Two-bit Perimeters 6a+2b What perimeters are possible using only 2 bits of information? a b

6. 6 Two-bit Perimeters 6a+4b What perimeters are possible using only 2 bits of information? a b

7. 7 Which region looks to have … … the largest perimeter? … the smallest perimeter?