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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.