What you’ll learn
Find polygon perimeter using coordinates.
Key idea
Perimeter adds all boundary lengths; multiplication of width and height measures area instead.
Include all four boundary segments; region area is not perimeter.
Worked example
Enter the exact value or ordered values in the format requested below.
The labeled grid connects A-B-C-D-A as an axis-aligned rectangle. Find its perimeter in coordinate units; x is horizontal, y vertical.
Marked coordinates: D=(-3, 1); C=(3, 1); A=(-3, -3); B=(3, -3).
- Coordinate differences give widths 6 and heights 4.
- Closed perimeter=6+4+6+4=20 units.
Answer: 20
Quick Check
Relate the graph used in 'Find polygon perimeter using coordinates' to an equation, table, transformation, or verbal description.
Connect this closed rectangle graph to its perimeter expression, with boundary-length justification; x horizontal, y vertical.
Marked coordinates: D=(-3, 6); C=(0, 6); A=(-3, 1); B=(0, 1).