This is a repost of a problem from several years ago. This time I am including an interactive document that you can use to move your toothpicks around and create your figures. First, make sure you are signed in with a Google/gmail account - otherwise you will be able to see the document but can't make your own copy. Open the document and then under the "file" menu, click "make a copy" to make your own copy: Toothpick Perimeter document
Here's the problem:
Notice that you can make figures with toothpicks. We can think of each toothpick as a unit of length. Below I made a figure with a perimeter of 12 and an area of 9:
For the solution, click "Read More" below.