Rubber Band Perimeter
Rubber Band Perimeter
Below there are 7 points with a tight rubber band wrapped around all of them, creating a shape. The rubber band currently has a perimeter of 24 units. Drag the points around to make new shapes. Try to create other shapes with a perimeter of exactly 24. The perimeter is displayed in the upper left hand corner.
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Extensions
- Try to make a perimeter of 24 using exactly 3 points as vertices? How about exactly 4, 5, 6, 7? Are they all possible?
- Try to make a perimeter of 24 where at least one of the sides has an irrational length? Is it possible?
- Pick a perimeter other than 24. Can you make that perimeter with 3, 4, 5, 6, or 7 points?
- What is the largest perimeter you can make?