Education Technology

Ryan's Puppy Problem

Published on 08/05/2006

Activity Overview

This problem can be used in Geometry of Algebra. Ryan desires to build a rectangluar fence to keep his puppy in. What shape should he use if he has 8 meters of fencing?

Before the Activity

Students should have access to a TI-83 Plus or TI-84 Plus with Cabri Jr.™ loaded.

During the Activity

This is the teacher notes. Activity Six is a good follow up. (See Extensions below.)

After the Activity

An extension to this activity is exploring regular polygons to find the figure that will give the maximum area given a fixed perimeter. The construction is extensive, and the best strategy might be to lead students initially, then let them make the discovery.