Visualizing the Maximum Area of a 3-Sided Rectangular Enclosure

Increasing Spatial Reasoning Skills: Optimization of Measurement

Visualizing Optimization - Maximizing the Area of a 3-Sided Rectangular Enclosure

Although maximizing the area of a 4-sided rectangular enclosure is usually considered quite basic for most students, understanding why maximizing a 3-sided rectangular enclosure does not yield a square can be more difficult.

To help address this student learning need, here is the animation created for maximizing the area of a 3-sided rectangular enclosure by using a situation where we must rope in a swimming area at the beach:

Stage By Stage PDF File

Here is a stage-by-stage PDF file for you to grab, if you’d like:

Please let me know if you and your students found this resource helpful!

If you’re interested in creating animations for your own math class, download Keynote here:


Download our Complete Guide to successfully implementing our Make Math Moments 3-Part Framework in your math class!
Make Math Moments 3-Part Framework Guidebook

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About Kyle Pearce

I’m Kyle Pearce and I am a former high school math teacher. I’m now the K-12 Mathematics Consultant with the Greater Essex County District School Board, where I uncover creative ways to spark curiosity and fuel sense making in mathematics. Read more.

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