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Tilted Squares

Age 11 to 14 Challenge Level:

Two standard methods for working out the areas of shapes may help.

Boxing in the tilted squares, working out the area of the box and subtracting the areas of the unwanted right-angled triangles: 

 boxing in method

 

Splitting the tilted squares into right-angled triangles and squares and adding the areas of the different parts:


Diagram of tilted square split up into 4 right angled triangles and a square, with their corresponding areas.