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The angles in the trapezium are 36o, 36o, 144o and 144o which are all square numbers.
The angles in the triangle are 16o, 64o and 100o which are all square numbers.
The angles in the quadrilateral are 16o, 100o , 144o and 100o which are all square numbers.
Can you draw one of the polygons above such that the perimeter, measured in cm, is a square number?
Teacher, do your students have
access to computers?
Here is the URL for a concise version of this page without comments or answers.
Here is the URL which will take them to a related activity.
A spreadsheet may assist students investigating totals of square numbers.
The free software GeoGebra may assist students drawing the shapes.