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Topics: Starter  Angles  Geometry  Number  Shape
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The angles in the trapezium are 36^{o}, 36^{o}, 144^{o} and 144^{o} which are all square numbers.
The angles in the triangle are 16^{o}, 64^{o} and 100^{o} which are all square numbers.
The angles in the quadrilateral are 16^{o}, 100^{o }, 144^{o} and 100^{o} 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.
Christmas Present Ideas
Seasonal, mathematicsrelated gifts chosen and recommended by Transum Mathematics