Education Technology

The Maximum Area Problem

Activity Overview

A farmer has the task of fencing a rectangular pen for his dog, Canadian. He has 60 m of fencing for the job and wants to build a pen of maximum area. In this activity student will use a moveable rectangle to determine the dimensions of a rectangle that produce the largest possible area.
In the second part of the activity students will manually collect data on the length, width, area and perimeter in a spreadsheet and determine the dimensions of the rectangle that has the maximum area.

Before the Activity

Make copies of the tech sheet and the student hand out. Download the student TI-Nspire document (tns file) to student handhelds.

After the Activity

A teacher TI-Nspire document (tns file) is included so you can check student work.